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Finding the Fourth Proportional to 12,436,858,498.80, 18,655,287,748.20 and 12,436,858,498.80

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Solution

The fourth proportional to 12,436,858,498.80, 18,655,287,748.20 and 12,436,858,498.80 is: 18,655,287,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436,858,498.80 : 18,655,287,748.20 = 12,436,858,498.80 : x
  2. Step 2: Convert to fraction form
    12,436,858,498.80/18,655,287,748.20 = 12,436,858,498.80/x
  3. Step 3: Cross multiply
    12,436,858,498.80x = 18,655,287,748.20 × 12,436,858,498.80
  4. Step 4: Simplify right side
    12,436,858,498.80x = 232,013,173,978,760,675,328
  5. Step 5: Solve for x
    x = 232,013,173,978,760,675,328/12,436,858,498.80
  6. Step 6: Final answer
    x = 18,655,287,748.20

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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.