I didn't have an intuition for this, so I took a shot in the dark as a baseline. Wolfram Alpha suggests that the Golden Gate bridge was about $350M in modern money, and given length and height, I'd say they're pretty comparable. They're both within probably $25M of what you'd sort of expect of each other, with the Golden Gate being a little longer (0.3 miles) and the one you're referencing is much lower (GG is 120m higher).

Now, I'd guess there's some debate if the Golden Gate was worth it, but I think in the long run these sorts of things define regions and become essential.

EDIT: Noting I already did the 1930s money conversion.

Similar price to big bridges in Europe (https://en.wikipedia.org/wiki/Millau_Viaduct)

  Total length 	2,460m
  Width 	32.05m
  Height 	343m
  Cost		€394,000,000