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Finding the Fourth Proportional to 367,780,811,908.70, 551,671,217,863 and 367,780,811,908.70

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Solution

The fourth proportional to 367,780,811,908.70, 551,671,217,863 and 367,780,811,908.70 is: 551,671,217,863

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,811,908.70 : 551,671,217,863 = 367,780,811,908.70 : x
  2. Step 2: Convert to fraction form
    367,780,811,908.70/551,671,217,863 = 367,780,811,908.70/x
  3. Step 3: Cross multiply
    367,780,811,908.70x = 551,671,217,863 × 367,780,811,908.70
  4. Step 4: Simplify right side
    367,780,811,908.70x = 202,894,088,412,315,456,110,592
  5. Step 5: Solve for x
    x = 202,894,088,412,315,456,110,592/367,780,811,908.70
  6. Step 6: Final answer
    x = 551,671,217,863

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.