Finding the Fourth Proportional to 38,359,085,228,513, 57,542,010,385,006 and 10,822,499,619,386
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Solution
The fourth proportional to 38,359,085,228,513, 57,542,010,385,006 and 10,822,499,619,386 is: 16,234,703,767,845.13
Step by Step Solution
- Step 1: Write the proportion equation
38,359,085,228,513 : 57,542,010,385,006 = 10,822,499,619,386 : x - Step 2: Convert to fraction form
38,359,085,228,513/57,542,010,385,006 = 10,822,499,619,386/x - Step 3: Cross multiply
38,359,085,228,513x = 57,542,010,385,006 × 10,822,499,619,386 - Step 4: Simplify right side
38,359,085,228,513x = 622,748,385,490,432,684,487,344,128 - Step 5: Solve for x
x = 622,748,385,490,432,684,487,344,128/38,359,085,228,513 - Step 6: Final answer
x = 16,234,703,767,845.13
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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.