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Finding the Fourth Proportional to 141,441,145,512.67, 212,161,718,269.01 and 141,441,145,512.67

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Solution

The fourth proportional to 141,441,145,512.67, 212,161,718,269.01 and 141,441,145,512.67 is: 212,161,718,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,441,145,512.67 : 212,161,718,269.01 = 141,441,145,512.67 : x
  2. Step 2: Convert to fraction form
    141,441,145,512.67/212,161,718,269.01 = 141,441,145,512.67/x
  3. Step 3: Cross multiply
    141,441,145,512.67x = 212,161,718,269.01 × 141,441,145,512.67
  4. Step 4: Simplify right side
    141,441,145,512.67x = 30,008,396,465,905,143,382,016
  5. Step 5: Solve for x
    x = 30,008,396,465,905,143,382,016/141,441,145,512.67
  6. Step 6: Final answer
    x = 212,161,718,269.01

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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.