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Finding the Fourth Proportional to 576,936,176.80, 865,404,265.20 and 361,945,328.80

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Solution

The fourth proportional to 576,936,176.80, 865,404,265.20 and 361,945,328.80 is: 542,917,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,936,176.80 : 865,404,265.20 = 361,945,328.80 : x
  2. Step 2: Convert to fraction form
    576,936,176.80/865,404,265.20 = 361,945,328.80/x
  3. Step 3: Cross multiply
    576,936,176.80x = 865,404,265.20 × 361,945,328.80
  4. Step 4: Simplify right side
    576,936,176.80x = 313,229,031,312,736,448
  5. Step 5: Solve for x
    x = 313,229,031,312,736,448/576,936,176.80
  6. Step 6: Final answer
    x = 542,917,993.20

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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.