Well, it certainly won't come from minor price reductions on Amazon. A dedicated server from here [1] costs €299/month for 45TB. The same on Amazon would cost ~€3400/month for storage alone. That isn't even factoring in the fact that the dedicated server also comes with CPU and traffic which you have to pay for separately on Amazon which would make it much more expensive still. Amazon's storage is also notoriously slow. Amazon would have to reduce their prices by more than a factor of 10 before they come even close.

[1] http://www.hetzner.de/en/hosting/produkte_rootserver/xs29