Finding the Fourth Proportional to 2,086,204,098.53, 3,129,790,177.76 and 687,138,163.29
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Solution
The fourth proportional to 2,086,204,098.53, 3,129,790,177.76 and 687,138,163.29 is: 1,030,866,671.07
Step by Step Solution
- Step 1: Write the proportion equation
2,086,204,098.53 : 3,129,790,177.76 = 687,138,163.29 : x - Step 2: Convert to fraction form
2,086,204,098.53/3,129,790,177.76 = 687,138,163.29/x - Step 3: Cross multiply
2,086,204,098.53x = 3,129,790,177.76 × 687,138,163.29 - Step 4: Simplify right side
2,086,204,098.53x = 2,150,598,274,225,653,248 - Step 5: Solve for x
x = 2,150,598,274,225,653,248/2,086,204,098.53 - Step 6: Final answer
x = 1,030,866,671.07
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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.