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Finding the Fourth Proportional to 299,793,253.90, 413,682,839.98 and 165,809,879.27

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Solution

The fourth proportional to 299,793,253.90, 413,682,839.98 and 165,809,879.27 is: 228,800,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793,253.90 : 413,682,839.98 = 165,809,879.27 : x
  2. Step 2: Convert to fraction form
    299,793,253.90/413,682,839.98 = 165,809,879.27/x
  3. Step 3: Cross multiply
    299,793,253.90x = 413,682,839.98 × 165,809,879.27
  4. Step 4: Simplify right side
    299,793,253.90x = 68,592,701,753,853,752
  5. Step 5: Solve for x
    x = 68,592,701,753,853,752/299,793,253.90
  6. Step 6: Final answer
    x = 228,800,017.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.