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Finding the Fourth Proportional to 4,109,912.70, 5,766,474.90 and 4,109,912.70

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Solution

The fourth proportional to 4,109,912.70, 5,766,474.90 and 4,109,912.70 is: 5,766,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,912.70 : 5,766,474.90 = 4,109,912.70 : x
  2. Step 2: Convert to fraction form
    4,109,912.70/5,766,474.90 = 4,109,912.70/x
  3. Step 3: Cross multiply
    4,109,912.70x = 5,766,474.90 × 4,109,912.70
  4. Step 4: Simplify right side
    4,109,912.70x = 23,699,708,425,741.23
  5. Step 5: Solve for x
    x = 23,699,708,425,741.23/4,109,912.70
  6. Step 6: Final answer
    x = 5,766,474.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.