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Finding the Fourth Proportional to 5,101,601.10, 7,652,401.65 and 5,101,601.10

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Solution

The fourth proportional to 5,101,601.10, 7,652,401.65 and 5,101,601.10 is: 7,652,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,601.10 : 7,652,401.65 = 5,101,601.10 : x
  2. Step 2: Convert to fraction form
    5,101,601.10/7,652,401.65 = 5,101,601.10/x
  3. Step 3: Cross multiply
    5,101,601.10x = 7,652,401.65 × 5,101,601.10
  4. Step 4: Simplify right side
    5,101,601.10x = 39,039,500,675,281.81
  5. Step 5: Solve for x
    x = 39,039,500,675,281.81/5,101,601.10
  6. Step 6: Final answer
    x = 7,652,401.65

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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.