If you are assembling things as laid out in the last photo and as described in one of the last posts, you are mixing iron pipe threads with flare( I think what you are calling tapered )fitting threads. They might loosely thread in and eventually jam together but man, this is the wrong situation to learn by trial and error. Best of luck.
Nah. That's not the setup that I finally installed. That was the one that was there before and was leaking, which the utility company tech took out and said was improperly put together out of incompatible parts. I kept the flexible gas line to the dryer and the adapter on the left. I think those came as part of an install kit.
It's clear that whoever did it before didn't size it correctly and it just managed to not leak for over a decade (according to when my mom thinks the previous tenant installed it without asking) using a ton of sealant. The male fitting (on the right) is too small and wobbles, and whoever installed it also managed to cross-thread one end of the valve, so it couldn't be reused.
What we have now (in order from the gas outlet to the dryer is.......
This between the outlet and one end of the new valve:
Brass pipe nipples are made from solid, lead free brass stock and have male tapered pipe threads on both ends. Brass is very durable and resists corrosion. The fitting diameter is measured using the outer
www.homedepot.com
This bridging the coupler and the adapter as the dryer's shutoff valve:
The One-Piece Gas Ball Valve by ProLine Series is safe for use with LP gas, natural gas, oil and traditional plumbing uses. This valve is built from forged brass as a one-piece body which creates leak
www.homedepot.com
And finally the existing adapter on the left of that above photo of the old setup.
I made sure to use lots of RectorSeal 5 on the outside threads of anything I put back together.
I forgot to take a photo of it, and the tenant has already moved in. However, all the parts I put together seem to fit just fine compared to the previous setup.