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Finding the Fourth Proportional to 131,114,978.10, 196,294,553.55 and 131,114,978.10

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Solution

The fourth proportional to 131,114,978.10, 196,294,553.55 and 131,114,978.10 is: 196,294,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,114,978.10 : 196,294,553.55 = 131,114,978.10 : x
  2. Step 2: Convert to fraction form
    131,114,978.10/196,294,553.55 = 131,114,978.10/x
  3. Step 3: Cross multiply
    131,114,978.10x = 196,294,553.55 × 131,114,978.10
  4. Step 4: Simplify right side
    131,114,978.10x = 25,737,156,089,857,528
  5. Step 5: Solve for x
    x = 25,737,156,089,857,528/131,114,978.10
  6. Step 6: Final answer
    x = 196,294,553.55

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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.