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Finding the Fourth Proportional to 189,451,382.70, 284,177,074.05 and 189,451,382.70

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Solution

The fourth proportional to 189,451,382.70, 284,177,074.05 and 189,451,382.70 is: 284,177,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,451,382.70 : 284,177,074.05 = 189,451,382.70 : x
  2. Step 2: Convert to fraction form
    189,451,382.70/284,177,074.05 = 189,451,382.70/x
  3. Step 3: Cross multiply
    189,451,382.70x = 284,177,074.05 × 189,451,382.70
  4. Step 4: Simplify right side
    189,451,382.70x = 53,837,739,610,412,784
  5. Step 5: Solve for x
    x = 53,837,739,610,412,784/189,451,382.70
  6. Step 6: Final answer
    x = 284,177,074.05

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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.