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Finding the Fourth Proportional to 367,780,811,910.67, 551,671,217,866 and 367,780,811,910.67

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Solution

The fourth proportional to 367,780,811,910.67, 551,671,217,866 and 367,780,811,910.67 is: 551,671,217,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,811,910.67 : 551,671,217,866 = 367,780,811,910.67 : x
  2. Step 2: Convert to fraction form
    367,780,811,910.67/551,671,217,866 = 367,780,811,910.67/x
  3. Step 3: Cross multiply
    367,780,811,910.67x = 551,671,217,866 × 367,780,811,910.67
  4. Step 4: Simplify right side
    367,780,811,910.67x = 202,894,088,414,505,587,441,664
  5. Step 5: Solve for x
    x = 202,894,088,414,505,587,441,664/367,780,811,910.67
  6. Step 6: Final answer
    x = 551,671,217,866

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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.