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Finding the Fourth Proportional to 11,632,180,608,155, 17,448,270,912,233 and 11,632,180,608,155

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Solution

The fourth proportional to 11,632,180,608,155, 17,448,270,912,233 and 11,632,180,608,155 is: 17,448,270,912,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632,180,608,155 : 17,448,270,912,233 = 11,632,180,608,155 : x
  2. Step 2: Convert to fraction form
    11,632,180,608,155/17,448,270,912,233 = 11,632,180,608,155/x
  3. Step 3: Cross multiply
    11,632,180,608,155x = 17,448,270,912,233 × 11,632,180,608,155
  4. Step 4: Simplify right side
    11,632,180,608,155x = 202,961,438,551,111,639,941,251,072
  5. Step 5: Solve for x
    x = 202,961,438,551,111,639,941,251,072/11,632,180,608,155
  6. Step 6: Final answer
    x = 17,448,270,912,233.00

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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.