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Finding the Fourth Proportional to 269,460,854.70, 404,191,282.05 and 252,454,742.70

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Solution

The fourth proportional to 269,460,854.70, 404,191,282.05 and 252,454,742.70 is: 378,682,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,460,854.70 : 404,191,282.05 = 252,454,742.70 : x
  2. Step 2: Convert to fraction form
    269,460,854.70/404,191,282.05 = 252,454,742.70/x
  3. Step 3: Cross multiply
    269,460,854.70x = 404,191,282.05 × 252,454,742.70
  4. Step 4: Simplify right side
    269,460,854.70x = 102,040,006,111,515,872
  5. Step 5: Solve for x
    x = 102,040,006,111,515,872/269,460,854.70
  6. Step 6: Final answer
    x = 378,682,114.05

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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.