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Finding the Fourth Proportional to 82,344,056,486.40, 123,516,084,729.60 and 82,344,056,486.40

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Solution

The fourth proportional to 82,344,056,486.40, 123,516,084,729.60 and 82,344,056,486.40 is: 123,516,084,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344,056,486.40 : 123,516,084,729.60 = 82,344,056,486.40 : x
  2. Step 2: Convert to fraction form
    82,344,056,486.40/123,516,084,729.60 = 82,344,056,486.40/x
  3. Step 3: Cross multiply
    82,344,056,486.40x = 123,516,084,729.60 × 82,344,056,486.40
  4. Step 4: Simplify right side
    82,344,056,486.40x = 10,170,815,457,953,151,188,992
  5. Step 5: Solve for x
    x = 10,170,815,457,953,151,188,992/82,344,056,486.40
  6. Step 6: Final answer
    x = 123,516,084,729.60

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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.