The tet is Trajan Decius a century and a half later than the Trajan of your other two coins. There are tets of the first Trajan which you might have: Tyre with reverse of Melqart I do not have a tet of Alexandria of his but someone here will.
My tet of Trajan. Trajan (98 - 117 A.D.) AR Tetradrachm PHOENICIA, Tyre Dated COS 5, year 15 (111 AD) O: AVTOKP KAIC NEP TPAIANOC CEB ΓEPM ∆AK, Laureate head right set on eagle standing right; club to left. R: ∆HMAPX - EΞ IE YΠAT E, laureate bust of Melqart draped in lion-skin. 24mm 13.7g Prieur 1515; BMC Phoenicia pg. 301, 15 I had an alexandria but was traded off. Was very worn anyways.
stevex6 has expanded "Trajan" to cover Trajan Decius too. I like the tetradrachms of Trajan Decius from Antioch. They are hefty coins.
=> 100% correct (honestly, it's kinda like a lil' hockey puck!!) ... Warren is correct, the Trajan Decius is a very cool AR Tet!!
The OP coin is a significant historical type - one I'd like to own myself. Of the larger bronzes of Trajan, I only have this ordinary Victory type, which since this pic has been effectively treated for the few spots of BD on the obverse - I just haven't taken another image yet.
I agree that if you're going to get a Trajan, you should favor something related to his expansion of the empire. That's exactly why I picked up the following coin celebrating the acquisition of Arabia.
a lot of times I like a coin for just the portrait, or reverse graphic, and sometimes even for the fonts. Kinda want one of those arabia coins just for the font
This is a bit worn, but I am happy with it Trajan Coin: Bronze As IMPCAESNERVAETRAIANOAVG GERDACPMTRPCOSVPP Laureate bust right SPQROPTIMOPRINCIPI Single-span bridge over river Mint: Rome (103-110 A.D.) Wt./Size/Axis: 9.93g / 26mm / - References: RIC 569, As Cohen 543