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Finding the Fourth Proportional to 576,936,177.80, 865,404,266.70 and 361,945,329.80

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Solution

The fourth proportional to 576,936,177.80, 865,404,266.70 and 361,945,329.80 is: 542,917,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,936,177.80 : 865,404,266.70 = 361,945,329.80 : x
  2. Step 2: Convert to fraction form
    576,936,177.80/865,404,266.70 = 361,945,329.80/x
  3. Step 3: Cross multiply
    576,936,177.80x = 865,404,266.70 × 361,945,329.80
  4. Step 4: Simplify right side
    576,936,177.80x = 313,229,032,721,058,688
  5. Step 5: Solve for x
    x = 313,229,032,721,058,688/576,936,177.80
  6. Step 6: Final answer
    x = 542,917,994.70

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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.