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Finding the Fourth Proportional to 447,542,731.70, 671,314,097.55 and 447,542,731.70

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Solution

The fourth proportional to 447,542,731.70, 671,314,097.55 and 447,542,731.70 is: 671,314,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,542,731.70 : 671,314,097.55 = 447,542,731.70 : x
  2. Step 2: Convert to fraction form
    447,542,731.70/671,314,097.55 = 447,542,731.70/x
  3. Step 3: Cross multiply
    447,542,731.70x = 671,314,097.55 × 447,542,731.70
  4. Step 4: Simplify right side
    447,542,731.70x = 300,441,745,046,247,232
  5. Step 5: Solve for x
    x = 300,441,745,046,247,232/447,542,731.70
  6. Step 6: Final answer
    x = 671,314,097.55

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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.