Finding the Fourth Proportional to 5,161,872,932,966, 7,738,992,278,186.40 and 3,121,654,425,858.40
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Solution
The fourth proportional to 5,161,872,932,966, 7,738,992,278,186.40 and 3,121,654,425,858.40 is: 4,680,173,226,000.58
Step by Step Solution
- Step 1: Write the proportion equation
5,161,872,932,966 : 7,738,992,278,186.40 = 3,121,654,425,858.40 : x - Step 2: Convert to fraction form
5,161,872,932,966/7,738,992,278,186.40 = 3,121,654,425,858.40/x - Step 3: Cross multiply
5,161,872,932,966x = 7,738,992,278,186.40 × 3,121,654,425,858.40 - Step 4: Simplify right side
5,161,872,932,966x = 24,158,459,496,884,557,647,446,016 - Step 5: Solve for x
x = 24,158,459,496,884,557,647,446,016/5,161,872,932,966 - Step 6: Final answer
x = 4,680,173,226,000.58
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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.