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Finding the Fourth Proportional to 27,287,203,487.20, 40,930,805,230.80 and 27,287,203,487.20

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Solution

The fourth proportional to 27,287,203,487.20, 40,930,805,230.80 and 27,287,203,487.20 is: 40,930,805,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287,203,487.20 : 40,930,805,230.80 = 27,287,203,487.20 : x
  2. Step 2: Convert to fraction form
    27,287,203,487.20/40,930,805,230.80 = 27,287,203,487.20/x
  3. Step 3: Cross multiply
    27,287,203,487.20x = 40,930,805,230.80 × 27,287,203,487.20
  4. Step 4: Simplify right side
    27,287,203,487.20x = 1,116,887,211,227,789,918,208
  5. Step 5: Solve for x
    x = 1,116,887,211,227,789,918,208/27,287,203,487.20
  6. Step 6: Final answer
    x = 40,930,805,230.80

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1.5x scale

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.