Here's a couple quotes:
Originally Posted by WIKIPEDIA
A500
The A500, later 40RH/42RH (hydraulic) and 40RE/42RE/44RE (electronic), was an A904 derivative used in trucks and vans. Introduced in the 1989 model year on a limited basis, it was the first light-duty Chrysler four-speed automatic and was placed behind the 3.9 L and 5.2 L engines for light-duty purposes. A tailshaft overdrive unit was bolted to the rear of the case to provide a total of four forward speeds, and was replaced by the 42RLE in 2004.
Gear ratios:
-1-----2----3-----4-----R
2.74 1.54 1.00 0.69 2.21
Applications:
1989-2001 Dodge Ram pickup 150/1500 V6/V8(2WD)
1989-2003 Dodge Ram Van B150/B250 V6/V8
1989-2003 Dodge Dakota
1993-2004 Jeep Grand Cherokee I6
1996-1998 Jeep Grand Cherokee 5.2 V8
42RLE
The 42LE was modified in 2003 as the 42RLE, originally for the then-new Jeep Liberty. It is a 42LE transaxle, modified for RWD use by removing the integral differential and transfer chain. Power flow exits the rear of the now transmission. The case has also been modified. This transmission is still in production for several models. Applications:
42RLE
2005–present Chrysler 300
2006–present Dodge Charger
2004–present Dodge Dakota
2004-2009 Dodge Durango
2005-2008 Dodge Magnum
2007–present Dodge Nitro
2003–present Jeep Liberty
2003–present Jeep Wrangler
2009 Dodge Challenger V6
You are correct in the numbering scheme, 44RE is 4 forward, strength 4, Rear drive, electronic; 46RH, 4 forward, 6 strength, Rear drive(4x4 still follows rear drive in this case), HYDRAULIC(46RH is used in full sized dodge trucks & vans), 47 or 48 is used behind diesel.
The internal differences in the 42/44 are that each clutch pack gets an additional friction & steel disc as well as an additional pinion gear is two planetaries. The 46 RH internals can also be put into a 42RE case so that it can be mounted to the 4.0/4.2 those also get more discs & steels, but also larger diameter, it's much more work though. and way overkill even on a potent stroker. I've not seen a 45...