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Finding the Fourth Proportional to 275,359,513.20, 413,039,269.80 and 259,203,706.80

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Solution

The fourth proportional to 275,359,513.20, 413,039,269.80 and 259,203,706.80 is: 388,805,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,359,513.20 : 413,039,269.80 = 259,203,706.80 : x
  2. Step 2: Convert to fraction form
    275,359,513.20/413,039,269.80 = 259,203,706.80/x
  3. Step 3: Cross multiply
    275,359,513.20x = 413,039,269.80 × 259,203,706.80
  4. Step 4: Simplify right side
    275,359,513.20x = 107,061,309,786,125,296
  5. Step 5: Solve for x
    x = 107,061,309,786,125,296/275,359,513.20
  6. Step 6: Final answer
    x = 388,805,560.20

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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.