Finding the Fourth Proportional to 149,153,455,904.15, 205,831,851,575.94 and 80,564,868,616.09
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Solution
The fourth proportional to 149,153,455,904.15, 205,831,851,575.94 and 80,564,868,616.09 is: 111,179,563,213.60
Step by Step Solution
- Step 1: Write the proportion equation
149,153,455,904.15 : 205,831,851,575.94 = 80,564,868,616.09 : x - Step 2: Convert to fraction form
149,153,455,904.15/205,831,851,575.94 = 80,564,868,616.09/x - Step 3: Cross multiply
149,153,455,904.15x = 205,831,851,575.94 × 80,564,868,616.09 - Step 4: Simplify right side
149,153,455,904.15x = 16,582,816,079,222,142,926,848 - Step 5: Solve for x
x = 16,582,816,079,222,142,926,848/149,153,455,904.15 - Step 6: Final answer
x = 111,179,563,213.60
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.