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Finding the Fourth Proportional to 269,741,728.80, 404,612,593.20 and 201,717,280.80

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Solution

The fourth proportional to 269,741,728.80, 404,612,593.20 and 201,717,280.80 is: 302,575,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,741,728.80 : 404,612,593.20 = 201,717,280.80 : x
  2. Step 2: Convert to fraction form
    269,741,728.80/404,612,593.20 = 201,717,280.80/x
  3. Step 3: Cross multiply
    269,741,728.80x = 404,612,593.20 × 201,717,280.80
  4. Step 4: Simplify right side
    269,741,728.80x = 81,617,352,077,740,576
  5. Step 5: Solve for x
    x = 81,617,352,077,740,576/269,741,728.80
  6. Step 6: Final answer
    x = 302,575,921.20

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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.