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Finding the Fourth Proportional to 27,204,372,129.60, 40,806,558,194.40 and 27,204,372,129.60

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Solution

The fourth proportional to 27,204,372,129.60, 40,806,558,194.40 and 27,204,372,129.60 is: 40,806,558,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204,372,129.60 : 40,806,558,194.40 = 27,204,372,129.60 : x
  2. Step 2: Convert to fraction form
    27,204,372,129.60/40,806,558,194.40 = 27,204,372,129.60/x
  3. Step 3: Cross multiply
    27,204,372,129.60x = 40,806,558,194.40 × 27,204,372,129.60
  4. Step 4: Simplify right side
    27,204,372,129.60x = 1,110,116,794,448,635,887,616
  5. Step 5: Solve for x
    x = 1,110,116,794,448,635,887,616/27,204,372,129.60
  6. Step 6: Final answer
    x = 40,806,558,194.40

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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.