First, let's simplify the expressions within each set of parentheses:

( 5 5/9 - 7/18) = 50/9 - 7/18 = (100/18) - (7/18) = 93/18 = 31/6

( 40/63 - 8/21) = (40/63) - (24/63) = 16/63

( 83/90 - 41/50) = (415/450) - (369/450) = 46/450 = 23/225

Now plug these values back into the original expression and solve:

(31/6 : 35 + 16/63 : 20 + 23/225 : 2) 35
= (31/6 35 + 16/63 20 + 23/225 2) 35
= (1835/6 + 320/63 + 46/225) 35
= (305.83 + 5.08 + 0.20) 35
= 311.11 35
= 10888.85

Therefore, the final answer is 10888.85.