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Finding the Fourth Proportional to 1,099,773,865.22, 1,650,394,304.56 and 400,265,806.37

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Solution

The fourth proportional to 1,099,773,865.22, 1,650,394,304.56 and 400,265,806.37 is: 600,665,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,773,865.22 : 1,650,394,304.56 = 400,265,806.37 : x
  2. Step 2: Convert to fraction form
    1,099,773,865.22/1,650,394,304.56 = 400,265,806.37/x
  3. Step 3: Cross multiply
    1,099,773,865.22x = 1,650,394,304.56 × 400,265,806.37
  4. Step 4: Simplify right side
    1,099,773,865.22x = 660,596,407,143,163,776
  5. Step 5: Solve for x
    x = 660,596,407,143,163,776/1,099,773,865.22
  6. Step 6: Final answer
    x = 600,665,671.40

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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.