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Finding the Fourth Proportional to 825,841,736,999.29, 1,238,762,605,498.90 and 825,841,736,999.29

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Solution

The fourth proportional to 825,841,736,999.29, 1,238,762,605,498.90 and 825,841,736,999.29 is: 1,238,762,605,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,841,736,999.29 : 1,238,762,605,498.90 = 825,841,736,999.29 : x
  2. Step 2: Convert to fraction form
    825,841,736,999.29/1,238,762,605,498.90 = 825,841,736,999.29/x
  3. Step 3: Cross multiply
    825,841,736,999.29x = 1,238,762,605,498.90 × 825,841,736,999.29
  4. Step 4: Simplify right side
    825,841,736,999.29x = 1,023,021,861,854,977,728,708,608
  5. Step 5: Solve for x
    x = 1,023,021,861,854,977,728,708,608/825,841,736,999.29
  6. Step 6: Final answer
    x = 1,238,762,605,498.90

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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.