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Finding the Fourth Proportional to 322,947,443.80, 484,421,165.70 and 284,683,691.80

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Solution

The fourth proportional to 322,947,443.80, 484,421,165.70 and 284,683,691.80 is: 427,025,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,947,443.80 : 484,421,165.70 = 284,683,691.80 : x
  2. Step 2: Convert to fraction form
    322,947,443.80/484,421,165.70 = 284,683,691.80/x
  3. Step 3: Cross multiply
    322,947,443.80x = 484,421,165.70 × 284,683,691.80
  4. Step 4: Simplify right side
    322,947,443.80x = 137,906,805,837,535,536
  5. Step 5: Solve for x
    x = 137,906,805,837,535,536/322,947,443.80
  6. Step 6: Final answer
    x = 427,025,537.70

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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.