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Finding the Fourth Proportional to 664,161,742.40, 994,451,023.20 and 664,161,742.40

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Solution

The fourth proportional to 664,161,742.40, 994,451,023.20 and 664,161,742.40 is: 994,451,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,161,742.40 : 994,451,023.20 = 664,161,742.40 : x
  2. Step 2: Convert to fraction form
    664,161,742.40/994,451,023.20 = 664,161,742.40/x
  3. Step 3: Cross multiply
    664,161,742.40x = 994,451,023.20 × 664,161,742.40
  4. Step 4: Simplify right side
    664,161,742.40x = 660,476,324,299,974,784
  5. Step 5: Solve for x
    x = 660,476,324,299,974,784/664,161,742.40
  6. Step 6: Final answer
    x = 994,451,023.20

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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.