I did all the steps outlined in the article and I was still having problems installing iTunes in my Windows 10 system. What finally fixed it was:
- Uninstall all traces of iTunes from the system
- Manually download and Install Visual C++ Redistributable for Visual Studio 2015 (from here:https://www.microsoft.com/en-us/download/details.aspx?id=48145)
- Then re-install iTunes