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Finding the Fourth Proportional to 10,135,286,999.90, 15,202,930,499.85 and 10,135,286,999.90

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Solution

The fourth proportional to 10,135,286,999.90, 15,202,930,499.85 and 10,135,286,999.90 is: 15,202,930,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135,286,999.90 : 15,202,930,499.85 = 10,135,286,999.90 : x
  2. Step 2: Convert to fraction form
    10,135,286,999.90/15,202,930,499.85 = 10,135,286,999.90/x
  3. Step 3: Cross multiply
    10,135,286,999.90x = 15,202,930,499.85 × 10,135,286,999.90
  4. Step 4: Simplify right side
    10,135,286,999.90x = 154,086,063,855,512,911,872
  5. Step 5: Solve for x
    x = 154,086,063,855,512,911,872/10,135,286,999.90
  6. Step 6: Final answer
    x = 15,202,930,499.85

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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.