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Finding the Fourth Proportional to 664,307,187.60, 996,460,781.40 and 387,674,432.40

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Solution

The fourth proportional to 664,307,187.60, 996,460,781.40 and 387,674,432.40 is: 581,511,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,307,187.60 : 996,460,781.40 = 387,674,432.40 : x
  2. Step 2: Convert to fraction form
    664,307,187.60/996,460,781.40 = 387,674,432.40/x
  3. Step 3: Cross multiply
    664,307,187.60x = 996,460,781.40 × 387,674,432.40
  4. Step 4: Simplify right side
    664,307,187.60x = 386,302,367,838,105,472
  5. Step 5: Solve for x
    x = 386,302,367,838,105,472/664,307,187.60
  6. Step 6: Final answer
    x = 581,511,648.60

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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.