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Finding the Fourth Proportional to 8,375,257.80, 12,536,314.65 and 8,375,257.80

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Solution

The fourth proportional to 8,375,257.80, 12,536,314.65 and 8,375,257.80 is: 12,536,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375,257.80 : 12,536,314.65 = 8,375,257.80 : x
  2. Step 2: Convert to fraction form
    8,375,257.80/12,536,314.65 = 8,375,257.80/x
  3. Step 3: Cross multiply
    8,375,257.80x = 12,536,314.65 × 8,375,257.80
  4. Step 4: Simplify right side
    8,375,257.80x = 104,994,867,055,666.77
  5. Step 5: Solve for x
    x = 104,994,867,055,666.77/8,375,257.80
  6. Step 6: Final answer
    x = 12,536,314.65

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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.