As India's batsmen powered their way to an indomitable position in the final Domain Test, their Australian counterparts have paid the price for repeated technical and mental mistakes this summer.

That's the view of Test great Ricky Ponting, who was at the SCG to watch India rack up a mammoth 7-622 declared and put themselves in the box seat to win their first-ever Test series on Australian soil.

No matter which way you look at the batting statistics this series, India have dominated everything from runs, to centuries, to balls faced and boundaries struck.

Cheteshwar Pujara, India's immovable object at No.3, has amassed 521 runs from a record 1,258 balls faced, the most in a four-Test series between these two nations on these shores.

Dashing wicketkeeper-batter Rishabh Pant has plundered 350 runs, including an unbeaten 159 in Sydney, his highest Test score and one that punctured Australia's bubble to the point of complete deflation.

And captain Virat Kohli, universally regarded as the best batsman on the planet, has had a quiet series by his stratospheric standards but has still managed a century and 282 runs.

As for Australia, only Travis Head has broken the 200-run barrier for the hosts, the sole Australian among five other Indians at the top of the series' run-scorers list.

Those figures go a long way to explaining India's supremacy, but the reasons behind the visitors' dominance in the batting ranks comes down to the errors Australia's top order have made throughout the four Tests.

"As far as I'm concerned, this batting group through this series has made way too many mistakes," Ponting told cricket.com.au.

"Technical, mental, whatever those mistakes may be, they’ve made a lot of mistakes.

"It hasn't necessarily been the first mistake they've made either that's led to them getting out.

"They've made a lot of mistakes then eventually got out.

"To be fair, India have probably had the best of the batting conditions.

"The first part of the game in Melbourne was the best time to bat, and now (day one and two) is going to be the best time to bat here in Sydney.

"You look at the top five run-scorers and four of them are Indians and we've got Travis Head sitting at No.5 with 217 runs when Rishabh has got 350 as their keeper-batter.

"That highlights how little impact our batsmen have had on this series."

Prior to the Domain Test series, Ponting nominated Usman Khawaja to be the series' leading run-scorer, expecting the left-hander's all-round game to cope with India's well-rounded bowling attack.

But Khawaja has managed just one half-century to date – 72 in the second Test at Perth Stadium – and has been bogged down by India's supreme fast bowlers, led by Jasprit Bumrah.

"I think he (Khawaja) has played well," Ponting said.

"He's struggled to rotate the strike more in this series than ever before.

"He's faced a lot of balls.

"He played really well in the second innings in Perth in a really critical position and got 72 in a good partnership with (skipper Tim) Paine that got the Aussies a big enough lead to go on and win that game.

"He's the classiest player we have and probably hasn't got the rewards out of the series that he would've wanted to."

Now with 622 runs to reel in, Ponting again has put the onus on Khawaja and fellow senior batsman Shaun Marsh to lead Australia's ascent up an imposing mountain.

"The important thing for the Australians is they have to bat really big," he said.

"Even if it means it's going to be a drawn game, they have to bat really big because if you look back to Adelaide and certainly the first innings in Melbourne, they let a couple of really good opportunities slip there by not making enough runs in the first innings.

"To do that it's going to come down to the senior players, Khawaja and Shaun Marsh.

"The Aussies need those two guys to stand up."