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Finding the Fourth Proportional to 117,433,181,838.20, 176,149,772,757.30 and 117,433,181,838.20

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Solution

The fourth proportional to 117,433,181,838.20, 176,149,772,757.30 and 117,433,181,838.20 is: 176,149,772,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,433,181,838.20 : 176,149,772,757.30 = 117,433,181,838.20 : x
  2. Step 2: Convert to fraction form
    117,433,181,838.20/176,149,772,757.30 = 117,433,181,838.20/x
  3. Step 3: Cross multiply
    117,433,181,838.20x = 176,149,772,757.30 × 117,433,181,838.20
  4. Step 4: Simplify right side
    117,433,181,838.20x = 20,685,828,294,965,618,278,400
  5. Step 5: Solve for x
    x = 20,685,828,294,965,618,278,400/117,433,181,838.20
  6. Step 6: Final answer
    x = 176,149,772,757.30

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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.