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Finding the Fourth Proportional to 3,686,770,302,800.70, 5,530,155,454,201.10 and 3,686,770,302,800.70

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Solution

The fourth proportional to 3,686,770,302,800.70, 5,530,155,454,201.10 and 3,686,770,302,800.70 is: 5,530,155,454,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,770,302,800.70 : 5,530,155,454,201.10 = 3,686,770,302,800.70 : x
  2. Step 2: Convert to fraction form
    3,686,770,302,800.70/5,530,155,454,201.10 = 3,686,770,302,800.70/x
  3. Step 3: Cross multiply
    3,686,770,302,800.70x = 5,530,155,454,201.10 × 3,686,770,302,800.70
  4. Step 4: Simplify right side
    3,686,770,302,800.70x = 20,388,412,898,419,930,164,101,120
  5. Step 5: Solve for x
    x = 20,388,412,898,419,930,164,101,120/3,686,770,302,800.70
  6. Step 6: Final answer
    x = 5,530,155,454,201.10

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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.