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Finding the Fourth Proportional to 386,745,857, 580,134,794.34 and 114,116,624

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Solution

The fourth proportional to 386,745,857, 580,134,794.34 and 114,116,624 is: 171,179,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,745,857 : 580,134,794.34 = 114,116,624 : x
  2. Step 2: Convert to fraction form
    386,745,857/580,134,794.34 = 114,116,624/x
  3. Step 3: Cross multiply
    386,745,857x = 580,134,794.34 × 114,116,624
  4. Step 4: Simplify right side
    386,745,857x = 66,203,024,195,015,112
  5. Step 5: Solve for x
    x = 66,203,024,195,015,112/386,745,857
  6. Step 6: Final answer
    x = 171,179,659.71

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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.