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Finding the Fourth Proportional to 463,648,015.40, 695,472,023.10 and 428,612,469.80

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Solution

The fourth proportional to 463,648,015.40, 695,472,023.10 and 428,612,469.80 is: 642,918,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,015.40 : 695,472,023.10 = 428,612,469.80 : x
  2. Step 2: Convert to fraction form
    463,648,015.40/695,472,023.10 = 428,612,469.80/x
  3. Step 3: Cross multiply
    463,648,015.40x = 695,472,023.10 × 428,612,469.80
  4. Step 4: Simplify right side
    463,648,015.40x = 298,087,981,497,693,696
  5. Step 5: Solve for x
    x = 298,087,981,497,693,696/463,648,015.40
  6. Step 6: Final answer
    x = 642,918,704.70

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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.