Why don't rich people get organ transplants?

No.11549189 ViewReplyOriginalReport
Most people die from old age due to liver failure, heart disease, etc... so wouldn't it be in the best interest of a billionaire in his 70's to just replace all his old organs with fresh Chinese ones? Would they still die so soon, or would it prolong their life?
I know nothing about biology beyond an undergraduate class 6 years ago.