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Finding the Fourth Proportional to 269,472,045.20, 404,208,067.80 and 147,028,038.80

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Solution

The fourth proportional to 269,472,045.20, 404,208,067.80 and 147,028,038.80 is: 220,542,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,472,045.20 : 404,208,067.80 = 147,028,038.80 : x
  2. Step 2: Convert to fraction form
    269,472,045.20/404,208,067.80 = 147,028,038.80/x
  3. Step 3: Cross multiply
    269,472,045.20x = 404,208,067.80 × 147,028,038.80
  4. Step 4: Simplify right side
    269,472,045.20x = 59,429,919,475,771,440
  5. Step 5: Solve for x
    x = 59,429,919,475,771,440/269,472,045.20
  6. Step 6: Final answer
    x = 220,542,058.20

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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.