Finding the Fourth Proportional to 2,584,498,563.20, 3,876,747,844.80 and 1,565,282,691.20
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Solution
The fourth proportional to 2,584,498,563.20, 3,876,747,844.80 and 1,565,282,691.20 is: 2,347,924,036.80
Step by Step Solution
- Step 1: Write the proportion equation
2,584,498,563.20 : 3,876,747,844.80 = 1,565,282,691.20 : x - Step 2: Convert to fraction form
2,584,498,563.20/3,876,747,844.80 = 1,565,282,691.20/x - Step 3: Cross multiply
2,584,498,563.20x = 3,876,747,844.80 × 1,565,282,691.20 - Step 4: Simplify right side
2,584,498,563.20x = 6,068,206,299,612,344,320 - Step 5: Solve for x
x = 6,068,206,299,612,344,320/2,584,498,563.20 - Step 6: Final answer
x = 2,347,924,036.80
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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.