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Finding the Fourth Proportional to 17,006,135,965.20, 23,753,490,548.40 and 17,006,135,965.20

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Solution

The fourth proportional to 17,006,135,965.20, 23,753,490,548.40 and 17,006,135,965.20 is: 23,753,490,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006,135,965.20 : 23,753,490,548.40 = 17,006,135,965.20 : x
  2. Step 2: Convert to fraction form
    17,006,135,965.20/23,753,490,548.40 = 17,006,135,965.20/x
  3. Step 3: Cross multiply
    17,006,135,965.20x = 23,753,490,548.40 × 17,006,135,965.20
  4. Step 4: Simplify right side
    17,006,135,965.20x = 403,955,089,914,183,548,928
  5. Step 5: Solve for x
    x = 403,955,089,914,183,548,928/17,006,135,965.20
  6. Step 6: Final answer
    x = 23,753,490,548.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.