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Finding the Fourth Proportional to 617,180,150,200.56, 925,770,225,300.90 and 617,180,150,200.56

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Solution

The fourth proportional to 617,180,150,200.56, 925,770,225,300.90 and 617,180,150,200.56 is: 925,770,225,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,180,150,200.56 : 925,770,225,300.90 = 617,180,150,200.56 : x
  2. Step 2: Convert to fraction form
    617,180,150,200.56/925,770,225,300.90 = 617,180,150,200.56/x
  3. Step 3: Cross multiply
    617,180,150,200.56x = 925,770,225,300.90 × 617,180,150,200.56
  4. Step 4: Simplify right side
    617,180,150,200.56x = 571,367,006,702,415,797,813,248
  5. Step 5: Solve for x
    x = 571,367,006,702,415,797,813,248/617,180,150,200.56
  6. Step 6: Final answer
    x = 925,770,225,300.90

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1.5x scale

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.