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Finding the Fourth Proportional to 367,458,804,548.68, 551,188,206,823.01 and 367,458,804,548.68

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Solution

The fourth proportional to 367,458,804,548.68, 551,188,206,823.01 and 367,458,804,548.68 is: 551,188,206,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458,804,548.68 : 551,188,206,823.01 = 367,458,804,548.68 : x
  2. Step 2: Convert to fraction form
    367,458,804,548.68/551,188,206,823.01 = 367,458,804,548.68/x
  3. Step 3: Cross multiply
    367,458,804,548.68x = 551,188,206,823.01 × 367,458,804,548.68
  4. Step 4: Simplify right side
    367,458,804,548.68x = 202,538,959,560,513,834,450,944
  5. Step 5: Solve for x
    x = 202,538,959,560,513,834,450,944/367,458,804,548.68
  6. Step 6: Final answer
    x = 551,188,206,823.01

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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.