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Finding the Fourth Proportional to 5,099,189.70, 7,151,462.70 and 5,099,189.70

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Solution

The fourth proportional to 5,099,189.70, 7,151,462.70 and 5,099,189.70 is: 7,151,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099,189.70 : 7,151,462.70 = 5,099,189.70 : x
  2. Step 2: Convert to fraction form
    5,099,189.70/7,151,462.70 = 5,099,189.70/x
  3. Step 3: Cross multiply
    5,099,189.70x = 7,151,462.70 × 5,099,189.70
  4. Step 4: Simplify right side
    5,099,189.70x = 36,466,664,939,774.20
  5. Step 5: Solve for x
    x = 36,466,664,939,774.20/5,099,189.70
  6. Step 6: Final answer
    x = 7,151,462.70

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