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Finding the Fourth Proportional to 3,669,787,763.10, 5,504,681,644.65 and 3,669,787,763.10

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Solution

The fourth proportional to 3,669,787,763.10, 5,504,681,644.65 and 3,669,787,763.10 is: 5,504,681,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,787,763.10 : 5,504,681,644.65 = 3,669,787,763.10 : x
  2. Step 2: Convert to fraction form
    3,669,787,763.10/5,504,681,644.65 = 3,669,787,763.10/x
  3. Step 3: Cross multiply
    3,669,787,763.10x = 5,504,681,644.65 × 3,669,787,763.10
  4. Step 4: Simplify right side
    3,669,787,763.10x = 20,201,013,339,297,751,040
  5. Step 5: Solve for x
    x = 20,201,013,339,297,751,040/3,669,787,763.10
  6. Step 6: Final answer
    x = 5,504,681,644.65

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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.