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Finding the Fourth Proportional to 766,593,475.80, 1,149,890,213.70 and 766,593,475.80

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Solution

The fourth proportional to 766,593,475.80, 1,149,890,213.70 and 766,593,475.80 is: 1,149,890,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,593,475.80 : 1,149,890,213.70 = 766,593,475.80 : x
  2. Step 2: Convert to fraction form
    766,593,475.80/1,149,890,213.70 = 766,593,475.80/x
  3. Step 3: Cross multiply
    766,593,475.80x = 1,149,890,213.70 × 766,593,475.80
  4. Step 4: Simplify right side
    766,593,475.80x = 881,498,335,708,687,744
  5. Step 5: Solve for x
    x = 881,498,335,708,687,744/766,593,475.80
  6. Step 6: Final answer
    x = 1,149,890,213.70

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Double scale
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1.5x scale

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.