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Finding the Fourth Proportional to 12,443,301,002.55, 18,664,951,503.83 and 12,443,301,002.55

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Solution

The fourth proportional to 12,443,301,002.55, 18,664,951,503.83 and 12,443,301,002.55 is: 18,664,951,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443,301,002.55 : 18,664,951,503.83 = 12,443,301,002.55 : x
  2. Step 2: Convert to fraction form
    12,443,301,002.55/18,664,951,503.83 = 12,443,301,002.55/x
  3. Step 3: Cross multiply
    12,443,301,002.55x = 18,664,951,503.83 × 12,443,301,002.55
  4. Step 4: Simplify right side
    12,443,301,002.55x = 232,253,609,760,092,749,824
  5. Step 5: Solve for x
    x = 232,253,609,760,092,749,824/12,443,301,002.55
  6. Step 6: Final answer
    x = 18,664,951,503.83

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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.