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Finding the Fourth Proportional to 484,542,003.40, 726,813,005.10 and 484,542,003.40

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Solution

The fourth proportional to 484,542,003.40, 726,813,005.10 and 484,542,003.40 is: 726,813,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,542,003.40 : 726,813,005.10 = 484,542,003.40 : x
  2. Step 2: Convert to fraction form
    484,542,003.40/726,813,005.10 = 484,542,003.40/x
  3. Step 3: Cross multiply
    484,542,003.40x = 726,813,005.10 × 484,542,003.40
  4. Step 4: Simplify right side
    484,542,003.40x = 352,171,429,588,328,384
  5. Step 5: Solve for x
    x = 352,171,429,588,328,384/484,542,003.40
  6. Step 6: Final answer
    x = 726,813,005.10

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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.