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Finding the Fourth Proportional to 45,515,843,998.80, 68,181,932,993.40 and 45,515,843,998.80

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Solution

The fourth proportional to 45,515,843,998.80, 68,181,932,993.40 and 45,515,843,998.80 is: 68,181,932,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,515,843,998.80 : 68,181,932,993.40 = 45,515,843,998.80 : x
  2. Step 2: Convert to fraction form
    45,515,843,998.80/68,181,932,993.40 = 45,515,843,998.80/x
  3. Step 3: Cross multiply
    45,515,843,998.80x = 68,181,932,993.40 × 45,515,843,998.80
  4. Step 4: Simplify right side
    45,515,843,998.80x = 3,103,358,225,664,229,507,072
  5. Step 5: Solve for x
    x = 3,103,358,225,664,229,507,072/45,515,843,998.80
  6. Step 6: Final answer
    x = 68,181,932,993.40

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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.