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Finding the Fourth Proportional to 520,745,751,781.80, 781,118,627,672.70 and 520,745,751,781.80

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Solution

The fourth proportional to 520,745,751,781.80, 781,118,627,672.70 and 520,745,751,781.80 is: 781,118,627,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,745,751,781.80 : 781,118,627,672.70 = 520,745,751,781.80 : x
  2. Step 2: Convert to fraction form
    520,745,751,781.80/781,118,627,672.70 = 520,745,751,781.80/x
  3. Step 3: Cross multiply
    520,745,751,781.80x = 781,118,627,672.70 × 520,745,751,781.80
  4. Step 4: Simplify right side
    520,745,751,781.80x = 406,764,206,998,188,049,039,360
  5. Step 5: Solve for x
    x = 406,764,206,998,188,049,039,360/520,745,751,781.80
  6. Step 6: Final answer
    x = 781,118,627,672.70

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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.