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Finding the Fourth Proportional to 269,741,698.80, 404,612,548.20 and 201,717,250.80

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Solution

The fourth proportional to 269,741,698.80, 404,612,548.20 and 201,717,250.80 is: 302,575,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,741,698.80 : 404,612,548.20 = 201,717,250.80 : x
  2. Step 2: Convert to fraction form
    269,741,698.80/404,612,548.20 = 201,717,250.80/x
  3. Step 3: Cross multiply
    269,741,698.80x = 404,612,548.20 × 201,717,250.80
  4. Step 4: Simplify right side
    269,741,698.80x = 81,617,330,862,086,496
  5. Step 5: Solve for x
    x = 81,617,330,862,086,496/269,741,698.80
  6. Step 6: Final answer
    x = 302,575,876.20

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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.