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Finding the Fourth Proportional to 873,190,502,023.40, 1,309,785,753,035.10 and 873,190,502,023.40

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Solution

The fourth proportional to 873,190,502,023.40, 1,309,785,753,035.10 and 873,190,502,023.40 is: 1,309,785,753,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,190,502,023.40 : 1,309,785,753,035.10 = 873,190,502,023.40 : x
  2. Step 2: Convert to fraction form
    873,190,502,023.40/1,309,785,753,035.10 = 873,190,502,023.40/x
  3. Step 3: Cross multiply
    873,190,502,023.40x = 1,309,785,753,035.10 × 873,190,502,023.40
  4. Step 4: Simplify right side
    873,190,502,023.40x = 1,143,692,479,235,816,150,794,240
  5. Step 5: Solve for x
    x = 1,143,692,479,235,816,150,794,240/873,190,502,023.40
  6. Step 6: Final answer
    x = 1,309,785,753,035.10

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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.