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Finding the Fourth Proportional to 801,431,714.70, 1,202,147,572.05 and 801,431,714.70

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Solution

The fourth proportional to 801,431,714.70, 1,202,147,572.05 and 801,431,714.70 is: 1,202,147,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,431,714.70 : 1,202,147,572.05 = 801,431,714.70 : x
  2. Step 2: Convert to fraction form
    801,431,714.70/1,202,147,572.05 = 801,431,714.70/x
  3. Step 3: Cross multiply
    801,431,714.70x = 1,202,147,572.05 × 801,431,714.70
  4. Step 4: Simplify right side
    801,431,714.70x = 963,439,189,990,473,344
  5. Step 5: Solve for x
    x = 963,439,189,990,473,344/801,431,714.70
  6. Step 6: Final answer
    x = 1,202,147,572.05

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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.