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Finding the Fourth Proportional to 533,339,201.80, 801,709,413.90 and 502,728,200.20

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Solution

The fourth proportional to 533,339,201.80, 801,709,413.90 and 502,728,200.20 is: 755,695,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,339,201.80 : 801,709,413.90 = 502,728,200.20 : x
  2. Step 2: Convert to fraction form
    533,339,201.80/801,709,413.90 = 502,728,200.20/x
  3. Step 3: Cross multiply
    533,339,201.80x = 801,709,413.90 × 502,728,200.20
  4. Step 4: Simplify right side
    533,339,201.80x = 403,041,930,733,343,872
  5. Step 5: Solve for x
    x = 403,041,930,733,343,872/533,339,201.80
  6. Step 6: Final answer
    x = 755,695,304.93

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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.