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Finding the Fourth Proportional to 53,747,817,998.40, 80,476,608,175.20 and 53,747,817,998.40

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Solution

The fourth proportional to 53,747,817,998.40, 80,476,608,175.20 and 53,747,817,998.40 is: 80,476,608,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,747,817,998.40 : 80,476,608,175.20 = 53,747,817,998.40 : x
  2. Step 2: Convert to fraction form
    53,747,817,998.40/80,476,608,175.20 = 53,747,817,998.40/x
  3. Step 3: Cross multiply
    53,747,817,998.40x = 80,476,608,175.20 × 53,747,817,998.40
  4. Step 4: Simplify right side
    53,747,817,998.40x = 4,325,442,089,329,198,891,008
  5. Step 5: Solve for x
    x = 4,325,442,089,329,198,891,008/53,747,817,998.40
  6. Step 6: Final answer
    x = 80,476,608,175.20

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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.