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Finding the Fourth Proportional to 130,380,248,520.67, 195,570,372,781.02 and 130,380,248,520.67

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Solution

The fourth proportional to 130,380,248,520.67, 195,570,372,781.02 and 130,380,248,520.67 is: 195,570,372,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,380,248,520.67 : 195,570,372,781.02 = 130,380,248,520.67 : x
  2. Step 2: Convert to fraction form
    130,380,248,520.67/195,570,372,781.02 = 130,380,248,520.67/x
  3. Step 3: Cross multiply
    130,380,248,520.67x = 195,570,372,781.02 × 130,380,248,520.67
  4. Step 4: Simplify right side
    130,380,248,520.67x = 25,498,513,806,469,462,228,992
  5. Step 5: Solve for x
    x = 25,498,513,806,469,462,228,992/130,380,248,520.67
  6. Step 6: Final answer
    x = 195,570,372,781.02

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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.