Finding the Fourth Proportional to 11,438,702,438.12, 15,785,006,753.24 and 6,288,712,414.08
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Solution
The fourth proportional to 11,438,702,438.12, 15,785,006,753.24 and 6,288,712,414.08 is: 8,678,201,785.77
Step by Step Solution
- Step 1: Write the proportion equation
11,438,702,438.12 : 15,785,006,753.24 = 6,288,712,414.08 : x - Step 2: Convert to fraction form
11,438,702,438.12/15,785,006,753.24 = 6,288,712,414.08/x - Step 3: Cross multiply
11,438,702,438.12x = 15,785,006,753.24 × 6,288,712,414.08 - Step 4: Simplify right side
11,438,702,438.12x = 99,267,367,925,437,022,208 - Step 5: Solve for x
x = 99,267,367,925,437,022,208/11,438,702,438.12 - Step 6: Final answer
x = 8,678,201,785.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.