Finding the Fourth Proportional to 5,161,872,932,964, 7,738,992,278,183.50 and 3,121,654,425,856.20
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Solution
The fourth proportional to 5,161,872,932,964, 7,738,992,278,183.50 and 3,121,654,425,856.20 is: 4,680,173,225,997.34
Step by Step Solution
- Step 1: Write the proportion equation
5,161,872,932,964 : 7,738,992,278,183.50 = 3,121,654,425,856.20 : x - Step 2: Convert to fraction form
5,161,872,932,964/7,738,992,278,183.50 = 3,121,654,425,856.20/x - Step 3: Cross multiply
5,161,872,932,964x = 7,738,992,278,183.50 × 3,121,654,425,856.20 - Step 4: Simplify right side
5,161,872,932,964x = 24,158,459,496,858,478,606,024,704 - Step 5: Solve for x
x = 24,158,459,496,858,478,606,024,704/5,161,872,932,964 - Step 6: Final answer
x = 4,680,173,225,997.34
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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.