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Finding the Fourth Proportional to 462,695,522.40, 695,177,024.40 and 347,904,266.40

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Solution

The fourth proportional to 462,695,522.40, 695,177,024.40 and 347,904,266.40 is: 522,708,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,695,522.40 : 695,177,024.40 = 347,904,266.40 : x
  2. Step 2: Convert to fraction form
    462,695,522.40/695,177,024.40 = 347,904,266.40/x
  3. Step 3: Cross multiply
    462,695,522.40x = 695,177,024.40 × 347,904,266.40
  4. Step 4: Simplify right side
    462,695,522.40x = 241,855,052,692,016,864
  5. Step 5: Solve for x
    x = 241,855,052,692,016,864/462,695,522.40
  6. Step 6: Final answer
    x = 522,708,867.89

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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.