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Finding the Fourth Proportional to 825,841,753,327.64, 1,238,762,629,991.50 and 825,841,753,327.64

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Solution

The fourth proportional to 825,841,753,327.64, 1,238,762,629,991.50 and 825,841,753,327.64 is: 1,238,762,629,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,841,753,327.64 : 1,238,762,629,991.50 = 825,841,753,327.64 : x
  2. Step 2: Convert to fraction form
    825,841,753,327.64/1,238,762,629,991.50 = 825,841,753,327.64/x
  3. Step 3: Cross multiply
    825,841,753,327.64x = 1,238,762,629,991.50 × 825,841,753,327.64
  4. Step 4: Simplify right side
    825,841,753,327.64x = 1,023,021,902,308,938,876,977,152
  5. Step 5: Solve for x
    x = 1,023,021,902,308,938,876,977,152/825,841,753,327.64
  6. Step 6: Final answer
    x = 1,238,762,629,991.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.