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Finding the Fourth Proportional to 200,593,046.20, 300,889,569.30 and 200,593,046.20

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Solution

The fourth proportional to 200,593,046.20, 300,889,569.30 and 200,593,046.20 is: 300,889,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593,046.20 : 300,889,569.30 = 200,593,046.20 : x
  2. Step 2: Convert to fraction form
    200,593,046.20/300,889,569.30 = 200,593,046.20/x
  3. Step 3: Cross multiply
    200,593,046.20x = 300,889,569.30 × 200,593,046.20
  4. Step 4: Simplify right side
    200,593,046.20x = 60,356,355,275,693,000
  5. Step 5: Solve for x
    x = 60,356,355,275,693,000/200,593,046.20
  6. Step 6: Final answer
    x = 300,889,569.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.