If a:b=2:3, b:c=4:5 and c:d=6:7,find a:b:c:d. I want the solution with proper steps

find a suitable number that is common to all the set of ratios.

for a/b=2/3 Ã— 8/8=16/24

now , b/c = 4/5 Ã— 6/6=24/30

lastly, c/d = 6/7 Ã— 5/5=30/35

now a:b:c:d = 16:24:30:35