Taking someone's more reasonable suggestion of Indian outsourcing, and training people to do the job rather than using judges:
It was difficult to find an average Indian call-center salary, so lets use Rs 300k. This was at the upper end but using the high figure makes some allowance for training and other costs.
This is $5610.
Of course you may want differing levels of staff, and can use some software.
I would say using a system of software flagging, geared to hit more false positives than risk missing something followed by a review by a human, with a system for them to refer it to someone more experienced/qualified if its not straightforward could reasonably cut the hours requirement in half. So, 199584/2=99792.
Multiplying this by the much more reasonable salary gives 99792 * $5610 = $559,833,120.
Still a hell of a lot of cash, but probably not unaffordable to Google.