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Finding the Fourth Proportional to 7,765,206,947.90, 11,647,810,421.85 and 7,765,206,947.90

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Solution

The fourth proportional to 7,765,206,947.90, 11,647,810,421.85 and 7,765,206,947.90 is: 11,647,810,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,206,947.90 : 11,647,810,421.85 = 7,765,206,947.90 : x
  2. Step 2: Convert to fraction form
    7,765,206,947.90/11,647,810,421.85 = 7,765,206,947.90/x
  3. Step 3: Cross multiply
    7,765,206,947.90x = 11,647,810,421.85 × 7,765,206,947.90
  4. Step 4: Simplify right side
    7,765,206,947.90x = 90,447,658,415,571,648,512
  5. Step 5: Solve for x
    x = 90,447,658,415,571,648,512/7,765,206,947.90
  6. Step 6: Final answer
    x = 11,647,810,421.85

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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.