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Finding the Fourth Proportional to 272,097,804,791.80, 408,146,707,187.70 and 272,097,804,791.80

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Solution

The fourth proportional to 272,097,804,791.80, 408,146,707,187.70 and 272,097,804,791.80 is: 408,146,707,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097,804,791.80 : 408,146,707,187.70 = 272,097,804,791.80 : x
  2. Step 2: Convert to fraction form
    272,097,804,791.80/408,146,707,187.70 = 272,097,804,791.80/x
  3. Step 3: Cross multiply
    272,097,804,791.80x = 408,146,707,187.70 × 272,097,804,791.80
  4. Step 4: Simplify right side
    272,097,804,791.80x = 111,055,823,058,774,748,299,264
  5. Step 5: Solve for x
    x = 111,055,823,058,774,748,299,264/272,097,804,791.80
  6. Step 6: Final answer
    x = 408,146,707,187.70

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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.