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Finding the Fourth Proportional to 832,250,702.70, 1,148,505,948.63 and 460,996,648.86

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Solution

The fourth proportional to 832,250,702.70, 1,148,505,948.63 and 460,996,648.86 is: 636,175,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,250,702.70 : 1,148,505,948.63 = 460,996,648.86 : x
  2. Step 2: Convert to fraction form
    832,250,702.70/1,148,505,948.63 = 460,996,648.86/x
  3. Step 3: Cross multiply
    832,250,702.70x = 1,148,505,948.63 × 460,996,648.86
  4. Step 4: Simplify right side
    832,250,702.70x = 529,457,393,514,205,376
  5. Step 5: Solve for x
    x = 529,457,393,514,205,376/832,250,702.70
  6. Step 6: Final answer
    x = 636,175,363.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.