“An attempt was made to load a program with an incorrect format” even when the platforms are the same

If you try to run 32-bit applications on IIS 7 (and/or 64-bit OS machine), you will get the same error. So, from the IIS 7, right click on the applications’ application pool and go to “advanced settings” and change “Enable 32-Bit Applications” to “TRUE”. Restart your website and it should work.

Could not load file or assembly … An attempt was made to load a program with an incorrect format (System.BadImageFormatException)

I am pretty sure you’re having a 32-bit / 64-bit conflict. It sounds like your main project might be set to 32-bit while the class its referencing is set to 64-bit. Try looking at this SO question and this one too. Between the two of them, you should be able to figure out your problem.