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Finding the Fourth Proportional to 143,607,231,638.67, 215,410,847,458.01 and 143,607,231,638.67

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Solution

The fourth proportional to 143,607,231,638.67, 215,410,847,458.01 and 143,607,231,638.67 is: 215,410,847,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,607,231,638.67 : 215,410,847,458.01 = 143,607,231,638.67 : x
  2. Step 2: Convert to fraction form
    143,607,231,638.67/215,410,847,458.01 = 143,607,231,638.67/x
  3. Step 3: Cross multiply
    143,607,231,638.67x = 215,410,847,458.01 × 143,607,231,638.67
  4. Step 4: Simplify right side
    143,607,231,638.67x = 30,934,555,468,384,656,424,960
  5. Step 5: Solve for x
    x = 30,934,555,468,384,656,424,960/143,607,231,638.67
  6. Step 6: Final answer
    x = 215,410,847,458.01

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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.