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Finding the Fourth Proportional to 133,747,231.30, 200,620,846.95 and 133,747,231.30

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Solution

The fourth proportional to 133,747,231.30, 200,620,846.95 and 133,747,231.30 is: 200,620,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,747,231.30 : 200,620,846.95 = 133,747,231.30 : x
  2. Step 2: Convert to fraction form
    133,747,231.30/200,620,846.95 = 133,747,231.30/x
  3. Step 3: Cross multiply
    133,747,231.30x = 200,620,846.95 × 133,747,231.30
  4. Step 4: Simplify right side
    133,747,231.30x = 26,832,482,820,623,548
  5. Step 5: Solve for x
    x = 26,832,482,820,623,548/133,747,231.30
  6. Step 6: Final answer
    x = 200,620,846.95

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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.