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Finding the Fourth Proportional to 165,959,069.40, 232,682,819.40 and 165,959,069.40

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Solution

The fourth proportional to 165,959,069.40, 232,682,819.40 and 165,959,069.40 is: 232,682,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,959,069.40 : 232,682,819.40 = 165,959,069.40 : x
  2. Step 2: Convert to fraction form
    165,959,069.40/232,682,819.40 = 165,959,069.40/x
  3. Step 3: Cross multiply
    165,959,069.40x = 232,682,819.40 × 165,959,069.40
  4. Step 4: Simplify right side
    165,959,069.40x = 38,615,824,172,992,272
  5. Step 5: Solve for x
    x = 38,615,824,172,992,272/165,959,069.40
  6. Step 6: Final answer
    x = 232,682,819.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.