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Finding the Fourth Proportional to 272,098,404,001.80, 408,147,606,002.70 and 272,098,404,001.80

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Solution

The fourth proportional to 272,098,404,001.80, 408,147,606,002.70 and 272,098,404,001.80 is: 408,147,606,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,098,404,001.80 : 408,147,606,002.70 = 272,098,404,001.80 : x
  2. Step 2: Convert to fraction form
    272,098,404,001.80/408,147,606,002.70 = 272,098,404,001.80/x
  3. Step 3: Cross multiply
    272,098,404,001.80x = 408,147,606,002.70 × 272,098,404,001.80
  4. Step 4: Simplify right side
    272,098,404,001.80x = 111,056,312,190,490,151,747,584
  5. Step 5: Solve for x
    x = 111,056,312,190,490,151,747,584/272,098,404,001.80
  6. Step 6: Final answer
    x = 408,147,606,002.70

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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.