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Finding the Fourth Proportional to 103,438,353,401.56, 155,157,530,102.31 and 103,438,353,401.56

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Solution

The fourth proportional to 103,438,353,401.56, 155,157,530,102.31 and 103,438,353,401.56 is: 155,157,530,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438,353,401.56 : 155,157,530,102.31 = 103,438,353,401.56 : x
  2. Step 2: Convert to fraction form
    103,438,353,401.56/155,157,530,102.31 = 103,438,353,401.56/x
  3. Step 3: Cross multiply
    103,438,353,401.56x = 155,157,530,102.31 × 103,438,353,401.56
  4. Step 4: Simplify right side
    103,438,353,401.56x = 16,049,239,431,635,925,991,424
  5. Step 5: Solve for x
    x = 16,049,239,431,635,925,991,424/103,438,353,401.56
  6. Step 6: Final answer
    x = 155,157,530,102.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.