Finding the Fourth Proportional to 120,198,887,966.67, 180,304,130,664.18 and 39,522,805,232.91
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Solution
The fourth proportional to 120,198,887,966.67, 180,304,130,664.18 and 39,522,805,232.91 is: 59,286,114,534.65
Step by Step Solution
- Step 1: Write the proportion equation
120,198,887,966.67 : 180,304,130,664.18 = 39,522,805,232.91 : x - Step 2: Convert to fraction form
120,198,887,966.67/180,304,130,664.18 = 39,522,805,232.91/x - Step 3: Cross multiply
120,198,887,966.67x = 180,304,130,664.18 × 39,522,805,232.91 - Step 4: Simplify right side
120,198,887,966.67x = 7,126,125,038,929,542,381,568 - Step 5: Solve for x
x = 7,126,125,038,929,542,381,568/120,198,887,966.67 - Step 6: Final answer
x = 59,286,114,534.65
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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.