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Finding the Fourth Proportional to 687,802,752,023.55, 1,031,704,128,035.30 and 687,802,752,023.55

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Solution

The fourth proportional to 687,802,752,023.55, 1,031,704,128,035.30 and 687,802,752,023.55 is: 1,031,704,128,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,802,752,023.55 : 1,031,704,128,035.30 = 687,802,752,023.55 : x
  2. Step 2: Convert to fraction form
    687,802,752,023.55/1,031,704,128,035.30 = 687,802,752,023.55/x
  3. Step 3: Cross multiply
    687,802,752,023.55x = 1,031,704,128,035.30 × 687,802,752,023.55
  4. Step 4: Simplify right side
    687,802,752,023.55x = 709,608,938,536,736,460,374,016
  5. Step 5: Solve for x
    x = 709,608,938,536,736,460,374,016/687,802,752,023.55
  6. Step 6: Final answer
    x = 1,031,704,128,035.30

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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.