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Finding the Fourth Proportional to 57,729,029,497.60, 86,593,544,246.40 and 57,729,029,497.60

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Solution

The fourth proportional to 57,729,029,497.60, 86,593,544,246.40 and 57,729,029,497.60 is: 86,593,544,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729,029,497.60 : 86,593,544,246.40 = 57,729,029,497.60 : x
  2. Step 2: Convert to fraction form
    57,729,029,497.60/86,593,544,246.40 = 57,729,029,497.60/x
  3. Step 3: Cross multiply
    57,729,029,497.60x = 86,593,544,246.40 × 57,729,029,497.60
  4. Step 4: Simplify right side
    57,729,029,497.60x = 4,998,961,270,102,156,115,968
  5. Step 5: Solve for x
    x = 4,998,961,270,102,156,115,968/57,729,029,497.60
  6. Step 6: Final answer
    x = 86,593,544,246.40

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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.