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Finding the Fourth Proportional to 6,801,408,093.90, 10,202,112,140.85 and 6,801,408,093.90

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Solution

The fourth proportional to 6,801,408,093.90, 10,202,112,140.85 and 6,801,408,093.90 is: 10,202,112,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801,408,093.90 : 10,202,112,140.85 = 6,801,408,093.90 : x
  2. Step 2: Convert to fraction form
    6,801,408,093.90/10,202,112,140.85 = 6,801,408,093.90/x
  3. Step 3: Cross multiply
    6,801,408,093.90x = 10,202,112,140.85 × 6,801,408,093.90
  4. Step 4: Simplify right side
    6,801,408,093.90x = 69,388,728,089,652,641,792
  5. Step 5: Solve for x
    x = 69,388,728,089,652,641,792/6,801,408,093.90
  6. Step 6: Final answer
    x = 10,202,112,140.85

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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.