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Finding the Fourth Proportional to 52,315,691,187.90, 78,473,536,781.85 and 52,315,691,187.90

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Solution

The fourth proportional to 52,315,691,187.90, 78,473,536,781.85 and 52,315,691,187.90 is: 78,473,536,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,315,691,187.90 : 78,473,536,781.85 = 52,315,691,187.90 : x
  2. Step 2: Convert to fraction form
    52,315,691,187.90/78,473,536,781.85 = 52,315,691,187.90/x
  3. Step 3: Cross multiply
    52,315,691,187.90x = 78,473,536,781.85 × 52,315,691,187.90
  4. Step 4: Simplify right side
    52,315,691,187.90x = 4,105,397,316,701,577,019,392
  5. Step 5: Solve for x
    x = 4,105,397,316,701,577,019,392/52,315,691,187.90
  6. Step 6: Final answer
    x = 78,473,536,781.85

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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.