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Finding the Fourth Proportional to 81,721,781,704.40, 122,582,672,556.60 and 81,721,781,704.40

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Solution

The fourth proportional to 81,721,781,704.40, 122,582,672,556.60 and 81,721,781,704.40 is: 122,582,672,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,721,781,704.40 : 122,582,672,556.60 = 81,721,781,704.40 : x
  2. Step 2: Convert to fraction form
    81,721,781,704.40/122,582,672,556.60 = 81,721,781,704.40/x
  3. Step 3: Cross multiply
    81,721,781,704.40x = 122,582,672,556.60 × 81,721,781,704.40
  4. Step 4: Simplify right side
    81,721,781,704.40x = 10,017,674,407,412,410,351,616
  5. Step 5: Solve for x
    x = 10,017,674,407,412,410,351,616/81,721,781,704.40
  6. Step 6: Final answer
    x = 122,582,672,556.60

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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.