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Finding the Fourth Proportional to 189,451,505.20, 284,177,257.80 and 189,451,505.20

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Solution

The fourth proportional to 189,451,505.20, 284,177,257.80 and 189,451,505.20 is: 284,177,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,451,505.20 : 284,177,257.80 = 189,451,505.20 : x
  2. Step 2: Convert to fraction form
    189,451,505.20/284,177,257.80 = 189,451,505.20/x
  3. Step 3: Cross multiply
    189,451,505.20x = 284,177,257.80 × 189,451,505.20
  4. Step 4: Simplify right side
    189,451,505.20x = 53,837,809,233,818,440
  5. Step 5: Solve for x
    x = 53,837,809,233,818,440/189,451,505.20
  6. Step 6: Final answer
    x = 284,177,257.80

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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.