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Finding the Fourth Proportional to 567,162,822.10, 850,744,233.15 and 567,162,822.10

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Solution

The fourth proportional to 567,162,822.10, 850,744,233.15 and 567,162,822.10 is: 850,744,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,162,822.10 : 850,744,233.15 = 567,162,822.10 : x
  2. Step 2: Convert to fraction form
    567,162,822.10/850,744,233.15 = 567,162,822.10/x
  3. Step 3: Cross multiply
    567,162,822.10x = 850,744,233.15 × 567,162,822.10
  4. Step 4: Simplify right side
    567,162,822.10x = 482,510,500,158,654,400
  5. Step 5: Solve for x
    x = 482,510,500,158,654,400/567,162,822.10
  6. Step 6: Final answer
    x = 850,744,233.15

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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.