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Finding the Fourth Proportional to 825,841,726,200.90, 1,238,762,589,301.40 and 825,841,726,200.90

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Solution

The fourth proportional to 825,841,726,200.90, 1,238,762,589,301.40 and 825,841,726,200.90 is: 1,238,762,589,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,841,726,200.90 : 1,238,762,589,301.40 = 825,841,726,200.90 : x
  2. Step 2: Convert to fraction form
    825,841,726,200.90/1,238,762,589,301.40 = 825,841,726,200.90/x
  3. Step 3: Cross multiply
    825,841,726,200.90x = 1,238,762,589,301.40 × 825,841,726,200.90
  4. Step 4: Simplify right side
    825,841,726,200.90x = 1,023,021,835,101,764,686,184,448
  5. Step 5: Solve for x
    x = 1,023,021,835,101,764,686,184,448/825,841,726,200.90
  6. Step 6: Final answer
    x = 1,238,762,589,301.40

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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.