Finding the Fourth Proportional to 279,431,086,991.12, 419,217,167,324.08 and 77,972,652,926.99
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Solution
The fourth proportional to 279,431,086,991.12, 419,217,167,324.08 and 77,972,652,926.99 is: 116,978,662,040.69
Step by Step Solution
- Step 1: Write the proportion equation
279,431,086,991.12 : 419,217,167,324.08 = 77,972,652,926.99 : x - Step 2: Convert to fraction form
279,431,086,991.12/419,217,167,324.08 = 77,972,652,926.99/x - Step 3: Cross multiply
279,431,086,991.12x = 419,217,167,324.08 × 77,972,652,926.99 - Step 4: Simplify right side
279,431,086,991.12x = 32,687,474,688,796,385,083,392 - Step 5: Solve for x
x = 32,687,474,688,796,385,083,392/279,431,086,991.12 - Step 6: Final answer
x = 116,978,662,040.69
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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.