As I posted in this thread Battery cross compatibility
Porter Cable and Black+Decker batteries are the same animal and with Very minor effort they will work with each other.
its hard to see but both boards say V1.3 and are identical in every way.
the cells have different markings Im guessing they are different venders and I could not find any info on the # strings.
If this was a Black+Decker tool removing this tab on the OPPOSITE side would make Porter Cable batteries fit
Regular MSRP of B+D batteries is $50 PC is $70, I found some 2.0 AH B+D Batteries for $25 so I grabbed one to test out the mod, I found Lowes selling the B+D Autoscence drill and BT speaker combo for $50 and they still had signage for buy the combo get a free bare tool so I grabbed the B+D recip saw (by the way PC batteries just fit NO modding needed)
I hope this helps.