Finding the Fourth Proportional to 204,341,754,163.20, 306,512,631,244.80 and 120,753,312,460.80
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Solution
The fourth proportional to 204,341,754,163.20, 306,512,631,244.80 and 120,753,312,460.80 is: 181,129,968,691.20
Step by Step Solution
- Step 1: Write the proportion equation
204,341,754,163.20 : 306,512,631,244.80 = 120,753,312,460.80 : x - Step 2: Convert to fraction form
204,341,754,163.20/306,512,631,244.80 = 120,753,312,460.80/x - Step 3: Cross multiply
204,341,754,163.20x = 306,512,631,244.80 × 120,753,312,460.80 - Step 4: Simplify right side
204,341,754,163.20x = 37,012,415,533,885,304,078,336 - Step 5: Solve for x
x = 37,012,415,533,885,304,078,336/204,341,754,163.20 - Step 6: Final answer
x = 181,129,968,691.20
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.