You certainly cannot synchronize them with Amazon software, because they allow onto their cloud only their products.
You can do it however with a very nice application, Calibre, which exists for Mac as well as for Linux and Windows.
If you want, you can get around the DRM (Digital Rights management) restrictions by means of a smart app, which you can download here. This will allow you to synchronize all your e-books across different reading platforms, by using your Mac as the synchronizing agent.