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Finding the Fourth Proportional to 442,510,150.40, 662,489,767.20 and 442,510,150.40

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Solution

The fourth proportional to 442,510,150.40, 662,489,767.20 and 442,510,150.40 is: 662,489,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,510,150.40 : 662,489,767.20 = 442,510,150.40 : x
  2. Step 2: Convert to fraction form
    442,510,150.40/662,489,767.20 = 442,510,150.40/x
  3. Step 3: Cross multiply
    442,510,150.40x = 662,489,767.20 × 442,510,150.40
  4. Step 4: Simplify right side
    442,510,150.40x = 293,158,446,522,132,992
  5. Step 5: Solve for x
    x = 293,158,446,522,132,992/442,510,150.40
  6. Step 6: Final answer
    x = 662,489,767.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.