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Finding the Fourth Proportional to 475,832,757.71, 713,587,494.78 and 164,867,798.54

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Solution

The fourth proportional to 475,832,757.71, 713,587,494.78 and 164,867,798.54 is: 247,245,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,832,757.71 : 713,587,494.78 = 164,867,798.54 : x
  2. Step 2: Convert to fraction form
    475,832,757.71/713,587,494.78 = 164,867,798.54/x
  3. Step 3: Cross multiply
    475,832,757.71x = 713,587,494.78 × 164,867,798.54
  4. Step 4: Simplify right side
    475,832,757.71x = 117,647,599,326,484,400
  5. Step 5: Solve for x
    x = 117,647,599,326,484,400/475,832,757.71
  6. Step 6: Final answer
    x = 247,245,691.73

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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.