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Finding the Fourth Proportional to 100,100,523.60, 150,150,785.40 and 31,950,104.40

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Solution

The fourth proportional to 100,100,523.60, 150,150,785.40 and 31,950,104.40 is: 47,925,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100,523.60 : 150,150,785.40 = 31,950,104.40 : x
  2. Step 2: Convert to fraction form
    100,100,523.60/150,150,785.40 = 31,950,104.40/x
  3. Step 3: Cross multiply
    100,100,523.60x = 150,150,785.40 × 31,950,104.40
  4. Step 4: Simplify right side
    100,100,523.60x = 4,797,333,269,271,996
  5. Step 5: Solve for x
    x = 4,797,333,269,271,996/100,100,523.60
  6. Step 6: Final answer
    x = 47,925,156.60

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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.