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Finding the Fourth Proportional to 238,464,415.80, 357,192,738.90 and 238,464,415.80

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Solution

The fourth proportional to 238,464,415.80, 357,192,738.90 and 238,464,415.80 is: 357,192,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,464,415.80 : 357,192,738.90 = 238,464,415.80 : x
  2. Step 2: Convert to fraction form
    238,464,415.80/357,192,738.90 = 238,464,415.80/x
  3. Step 3: Cross multiply
    238,464,415.80x = 357,192,738.90 × 238,464,415.80
  4. Step 4: Simplify right side
    238,464,415.80x = 85,177,757,809,790,432
  5. Step 5: Solve for x
    x = 85,177,757,809,790,432/238,464,415.80
  6. Step 6: Final answer
    x = 357,192,738.90

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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.