I can't help, I have the EXACT same experience. Amazon/Focus camera listing says it fits. It does not. I have gone on Samsung's chat help. No help. I have call Samsung support. 27 different "that's not my department" phone tree hell transfers later, I got disconnected. I am going to continue to try to find the correct one. If I find and answer, I will post. If you do, please do the same.
The battery is the same part number as the one that ships with the camera. The product I received from Focus Camera came with a charger/case, which is only a bit larger than the battery, but no charger cable. I bought 4 of them. They were Samsung products in an original Samsung box, but had a sticker on which said "Not For Sale." I don't know exactly what that means - perhaps it is grey market and plan to find out and let folks know with feedback. The products all work fine. There are third parties which sell much less expensive, equivalent products - the battery is just a standard Lithium Ion product that Samsung OEMs and private labels. I have no experience with other products, however, and bought these for work, so I didn't want to take any chances. Buy extras - the quad core processor drains batteries rather quickly.