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Finding the Fourth Proportional to 57,486,876,508.80, 86,230,314,763.20 and 57,486,876,508.80

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Solution

The fourth proportional to 57,486,876,508.80, 86,230,314,763.20 and 57,486,876,508.80 is: 86,230,314,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,486,876,508.80 : 86,230,314,763.20 = 57,486,876,508.80 : x
  2. Step 2: Convert to fraction form
    57,486,876,508.80/86,230,314,763.20 = 57,486,876,508.80/x
  3. Step 3: Cross multiply
    57,486,876,508.80x = 86,230,314,763.20 × 57,486,876,508.80
  4. Step 4: Simplify right side
    57,486,876,508.80x = 4,957,111,456,107,031,691,264
  5. Step 5: Solve for x
    x = 4,957,111,456,107,031,691,264/57,486,876,508.80
  6. Step 6: Final answer
    x = 86,230,314,763.20

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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.