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Finding the Fourth Proportional to 269,460,855.20, 404,191,282.80 and 252,454,743.20

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Solution

The fourth proportional to 269,460,855.20, 404,191,282.80 and 252,454,743.20 is: 378,682,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,460,855.20 : 404,191,282.80 = 252,454,743.20 : x
  2. Step 2: Convert to fraction form
    269,460,855.20/404,191,282.80 = 252,454,743.20/x
  3. Step 3: Cross multiply
    269,460,855.20x = 404,191,282.80 × 252,454,743.20
  4. Step 4: Simplify right side
    269,460,855.20x = 102,040,006,502,952,576
  5. Step 5: Solve for x
    x = 102,040,006,502,952,576/269,460,855.20
  6. Step 6: Final answer
    x = 378,682,114.80

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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.