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Finding the Fourth Proportional to 825,841,940,003.40, 1,238,762,910,005.10 and 825,841,940,003.40

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Solution

The fourth proportional to 825,841,940,003.40, 1,238,762,910,005.10 and 825,841,940,003.40 is: 1,238,762,910,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,841,940,003.40 : 1,238,762,910,005.10 = 825,841,940,003.40 : x
  2. Step 2: Convert to fraction form
    825,841,940,003.40/1,238,762,910,005.10 = 825,841,940,003.40/x
  3. Step 3: Cross multiply
    825,841,940,003.40x = 1,238,762,910,005.10 × 825,841,940,003.40
  4. Step 4: Simplify right side
    825,841,940,003.40x = 1,023,022,364,802,869,138,292,736
  5. Step 5: Solve for x
    x = 1,023,022,364,802,869,138,292,736/825,841,940,003.40
  6. Step 6: Final answer
    x = 1,238,762,910,005.10

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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.