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Finding the Fourth Proportional to 6,801,408,026.90, 10,202,112,040.35 and 6,801,408,026.90

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Solution

The fourth proportional to 6,801,408,026.90, 10,202,112,040.35 and 6,801,408,026.90 is: 10,202,112,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801,408,026.90 : 10,202,112,040.35 = 6,801,408,026.90 : x
  2. Step 2: Convert to fraction form
    6,801,408,026.90/10,202,112,040.35 = 6,801,408,026.90/x
  3. Step 3: Cross multiply
    6,801,408,026.90x = 10,202,112,040.35 × 6,801,408,026.90
  4. Step 4: Simplify right side
    6,801,408,026.90x = 69,388,726,722,569,625,600
  5. Step 5: Solve for x
    x = 69,388,726,722,569,625,600/6,801,408,026.90
  6. Step 6: Final answer
    x = 10,202,112,040.35

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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.