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Finding the Fourth Proportional to 367,458,804,567.04, 551,188,206,850.55 and 367,458,804,567.04

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Solution

The fourth proportional to 367,458,804,567.04, 551,188,206,850.55 and 367,458,804,567.04 is: 551,188,206,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458,804,567.04 : 551,188,206,850.55 = 367,458,804,567.04 : x
  2. Step 2: Convert to fraction form
    367,458,804,567.04/551,188,206,850.55 = 367,458,804,567.04/x
  3. Step 3: Cross multiply
    367,458,804,567.04x = 551,188,206,850.55 × 367,458,804,567.04
  4. Step 4: Simplify right side
    367,458,804,567.04x = 202,538,959,580,753,465,180,160
  5. Step 5: Solve for x
    x = 202,538,959,580,753,465,180,160/367,458,804,567.04
  6. Step 6: Final answer
    x = 551,188,206,850.55

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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.