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Finding the Fourth Proportional to 520,745,751,781.40, 781,118,627,672.10 and 520,745,751,781.40

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Solution

The fourth proportional to 520,745,751,781.40, 781,118,627,672.10 and 520,745,751,781.40 is: 781,118,627,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,745,751,781.40 : 781,118,627,672.10 = 520,745,751,781.40 : x
  2. Step 2: Convert to fraction form
    520,745,751,781.40/781,118,627,672.10 = 520,745,751,781.40/x
  3. Step 3: Cross multiply
    520,745,751,781.40x = 781,118,627,672.10 × 520,745,751,781.40
  4. Step 4: Simplify right side
    520,745,751,781.40x = 406,764,206,997,563,198,406,656
  5. Step 5: Solve for x
    x = 406,764,206,997,563,198,406,656/520,745,751,781.40
  6. Step 6: Final answer
    x = 781,118,627,672.10

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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.