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Finding the Fourth Proportional to 617,180,150,147.40, 925,770,225,221.10 and 617,180,150,147.40

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Solution

The fourth proportional to 617,180,150,147.40, 925,770,225,221.10 and 617,180,150,147.40 is: 925,770,225,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,180,150,147.40 : 925,770,225,221.10 = 617,180,150,147.40 : x
  2. Step 2: Convert to fraction form
    617,180,150,147.40/925,770,225,221.10 = 617,180,150,147.40/x
  3. Step 3: Cross multiply
    617,180,150,147.40x = 925,770,225,221.10 × 617,180,150,147.40
  4. Step 4: Simplify right side
    617,180,150,147.40x = 571,367,006,603,950,786,871,296
  5. Step 5: Solve for x
    x = 571,367,006,603,950,786,871,296/617,180,150,147.40
  6. Step 6: Final answer
    x = 925,770,225,221.10

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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.