If `a, b, c, d gt 0` such that a + 2b + 3c + 4d = 50, then find themaximum value of `((a^2b^4c^3d)/16)^(1/(10))`

If A : B = 1 : 2, B : C = 3 : 4 and C : D = 5 : 6, then find the value of D : C : B.

If a^(2) +b +2a sqrtb =7+ 4sqrt3 and c^(2) +d -2csqrtd =1 then find the value of (a + b +c +d) .

If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .

If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .

a=2b=3c=4d then a:b:c:d is

if a=3,b=0,c=2 and d=1 ,find the vale 3a+3b-6c+4d

If a : b = 2 : 3, b : c = 3 : 4, c : d = 4 : 5, find a : b : c : d.

If a, b, c, d satisfy the equation a + 7b + 3c + 5d = 0 , 8a + 4b + 6c + 2d = - 16 , 2a + 6b + 4c + 8d =16 and 5a + 3b + 7c + d = -16 then the value of (a + d) (b + c) =______