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Finding the Fourth Proportional to 158,443,971,353.15, 237,665,957,029.73 and 158,443,971,353.15

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Solution

The fourth proportional to 158,443,971,353.15, 237,665,957,029.73 and 158,443,971,353.15 is: 237,665,957,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,443,971,353.15 : 237,665,957,029.73 = 158,443,971,353.15 : x
  2. Step 2: Convert to fraction form
    158,443,971,353.15/237,665,957,029.73 = 158,443,971,353.15/x
  3. Step 3: Cross multiply
    158,443,971,353.15x = 237,665,957,029.73 × 158,443,971,353.15
  4. Step 4: Simplify right side
    158,443,971,353.15x = 37,656,738,087,237,519,933,440
  5. Step 5: Solve for x
    x = 37,656,738,087,237,519,933,440/158,443,971,353.15
  6. Step 6: Final answer
    x = 237,665,957,029.73

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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.