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Finding the Fourth Proportional to 132,040,772,652.45, 198,061,158,978.67 and 132,040,772,652.45

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Solution

The fourth proportional to 132,040,772,652.45, 198,061,158,978.67 and 132,040,772,652.45 is: 198,061,158,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040,772,652.45 : 198,061,158,978.67 = 132,040,772,652.45 : x
  2. Step 2: Convert to fraction form
    132,040,772,652.45/198,061,158,978.67 = 132,040,772,652.45/x
  3. Step 3: Cross multiply
    132,040,772,652.45x = 198,061,158,978.67 × 132,040,772,652.45
  4. Step 4: Simplify right side
    132,040,772,652.45x = 26,152,148,463,983,322,464,256
  5. Step 5: Solve for x
    x = 26,152,148,463,983,322,464,256/132,040,772,652.45
  6. Step 6: Final answer
    x = 198,061,158,978.67

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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.