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Finding the Fourth Proportional to 224,391,205.20, 336,586,807.80 and 200,204,734.80

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Solution

The fourth proportional to 224,391,205.20, 336,586,807.80 and 200,204,734.80 is: 300,307,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,391,205.20 : 336,586,807.80 = 200,204,734.80 : x
  2. Step 2: Convert to fraction form
    224,391,205.20/336,586,807.80 = 200,204,734.80/x
  3. Step 3: Cross multiply
    224,391,205.20x = 336,586,807.80 × 200,204,734.80
  4. Step 4: Simplify right side
    224,391,205.20x = 67,386,272,592,777,576
  5. Step 5: Solve for x
    x = 67,386,272,592,777,576/224,391,205.20
  6. Step 6: Final answer
    x = 300,307,102.20

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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.