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Finding the Fourth Proportional to 71,745,296,836.05, 107,617,945,254.08 and 71,745,296,836.05

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Solution

The fourth proportional to 71,745,296,836.05, 107,617,945,254.08 and 71,745,296,836.05 is: 107,617,945,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745,296,836.05 : 107,617,945,254.08 = 71,745,296,836.05 : x
  2. Step 2: Convert to fraction form
    71,745,296,836.05/107,617,945,254.08 = 71,745,296,836.05/x
  3. Step 3: Cross multiply
    71,745,296,836.05x = 107,617,945,254.08 × 71,745,296,836.05
  4. Step 4: Simplify right side
    71,745,296,836.05x = 7,721,081,427,139,748,691,968
  5. Step 5: Solve for x
    x = 7,721,081,427,139,748,691,968/71,745,296,836.05
  6. Step 6: Final answer
    x = 107,617,945,254.08

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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.