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Finding the Fourth Proportional to 25,101,223.05, 37,651,834.60 and 25,101,223.05

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Solution

The fourth proportional to 25,101,223.05, 37,651,834.60 and 25,101,223.05 is: 37,651,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101,223.05 : 37,651,834.60 = 25,101,223.05 : x
  2. Step 2: Convert to fraction form
    25,101,223.05/37,651,834.60 = 25,101,223.05/x
  3. Step 3: Cross multiply
    25,101,223.05x = 37,651,834.60 × 25,101,223.05
  4. Step 4: Simplify right side
    25,101,223.05x = 945,107,098,410,801.38
  5. Step 5: Solve for x
    x = 945,107,098,410,801.38/25,101,223.05
  6. Step 6: Final answer
    x = 37,651,834.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.