Finding the Fourth Proportional to 431,567,997.90, 647,351,996.85 and 189,230,901.90
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Solution
The fourth proportional to 431,567,997.90, 647,351,996.85 and 189,230,901.90 is: 283,846,352.85
Step by Step Solution
- Step 1: Write the proportion equation
431,567,997.90 : 647,351,996.85 = 189,230,901.90 : x - Step 2: Convert to fraction form
431,567,997.90/647,351,996.85 = 189,230,901.90/x - Step 3: Cross multiply
431,567,997.90x = 647,351,996.85 × 189,230,901.90 - Step 4: Simplify right side
431,567,997.90x = 122,499,002,210,691,472 - Step 5: Solve for x
x = 122,499,002,210,691,472/431,567,997.90 - Step 6: Final answer
x = 283,846,352.85
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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.