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Finding the Fourth Proportional to 198,015,603,119.78, 297,023,404,679.67 and 198,015,603,119.78

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Solution

The fourth proportional to 198,015,603,119.78, 297,023,404,679.67 and 198,015,603,119.78 is: 297,023,404,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,015,603,119.78 : 297,023,404,679.67 = 198,015,603,119.78 : x
  2. Step 2: Convert to fraction form
    198,015,603,119.78/297,023,404,679.67 = 198,015,603,119.78/x
  3. Step 3: Cross multiply
    198,015,603,119.78x = 297,023,404,679.67 × 198,015,603,119.78
  4. Step 4: Simplify right side
    198,015,603,119.78x = 58,815,268,618,335,336,529,920
  5. Step 5: Solve for x
    x = 58,815,268,618,335,336,529,920/198,015,603,119.78
  6. Step 6: Final answer
    x = 297,023,404,679.67

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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.