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Finding the Fourth Proportional to 311,485,964.90, 467,228,947.35 and 311,485,964.90

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Solution

The fourth proportional to 311,485,964.90, 467,228,947.35 and 311,485,964.90 is: 467,228,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,485,964.90 : 467,228,947.35 = 311,485,964.90 : x
  2. Step 2: Convert to fraction form
    311,485,964.90/467,228,947.35 = 311,485,964.90/x
  3. Step 3: Cross multiply
    311,485,964.90x = 467,228,947.35 × 311,485,964.90
  4. Step 4: Simplify right side
    311,485,964.90x = 145,535,259,494,526,048
  5. Step 5: Solve for x
    x = 145,535,259,494,526,048/311,485,964.90
  6. Step 6: Final answer
    x = 467,228,947.35

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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.