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Finding the Fourth Proportional to 394,894,742.70, 592,342,114.05 and 280,103,486.70

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Solution

The fourth proportional to 394,894,742.70, 592,342,114.05 and 280,103,486.70 is: 420,155,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,894,742.70 : 592,342,114.05 = 280,103,486.70 : x
  2. Step 2: Convert to fraction form
    394,894,742.70/592,342,114.05 = 280,103,486.70/x
  3. Step 3: Cross multiply
    394,894,742.70x = 592,342,114.05 × 280,103,486.70
  4. Step 4: Simplify right side
    394,894,742.70x = 165,917,091,464,654,048
  5. Step 5: Solve for x
    x = 165,917,091,464,654,048/394,894,742.70
  6. Step 6: Final answer
    x = 420,155,230.05

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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.