Of course, they're not collecting IP's to identify individual users, they're going to put it into their random number/profit generator, which goes a little something like this:
137 unique IP addresses from around the world viewed this thirty second clip of Popular Show
Given that there are six billion people in the world and approx three billion active IP addresses, it's likely that the clip was watched by at least seventeen people at each IP address (any statistical error in this calculation can be explained by a single user watching the clip 17 times)
This means we lost 137*17 sales of the Bumper Deluxe Edition Box Set of Popular Show, valued at $100 apiece (but sold for $50 in the shops) = $232900
That's also 137*17 different lawsuits and therefore punitive damages, valued at $100,000 per infringement = $232900000, plus the cost to us of each lawsuit is 137*17*$10,000 = $23290000
Therefore google owes us $256,422,900 for every thirty seconds of video stored on youtube
Estimating that youtube contains approximately half a million hours worth of footage, plus new footage is being uploaded every second, we humbly beseech my learned judge to ask google to pay us one billion dollars (plus interest) every second until the universe goes "foom".
Disclaimer: I am not a registered accountant, so I may have underestimated some of the values stated.