Finding the Fourth Proportional to 2,121,423,257,349, 3,182,134,882,454.10 and 509,757,138,504.95
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Solution
The fourth proportional to 2,121,423,257,349, 3,182,134,882,454.10 and 509,757,138,504.95 is: 764,635,706,899.73
Step by Step Solution
- Step 1: Write the proportion equation
2,121,423,257,349 : 3,182,134,882,454.10 = 509,757,138,504.95 : x - Step 2: Convert to fraction form
2,121,423,257,349/3,182,134,882,454.10 = 509,757,138,504.95/x - Step 3: Cross multiply
2,121,423,257,349x = 3,182,134,882,454.10 × 509,757,138,504.95 - Step 4: Simplify right side
2,121,423,257,349x = 1,622,115,972,016,587,476,566,016 - Step 5: Solve for x
x = 1,622,115,972,016,587,476,566,016/2,121,423,257,349 - Step 6: Final answer
x = 764,635,706,899.73
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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.