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Finding the Fourth Proportional to 232,983,043.10, 349,978,449.45 and 164,958,595.10

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Solution

The fourth proportional to 232,983,043.10, 349,978,449.45 and 164,958,595.10 is: 247,794,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,983,043.10 : 349,978,449.45 = 164,958,595.10 : x
  2. Step 2: Convert to fraction form
    232,983,043.10/349,978,449.45 = 164,958,595.10/x
  3. Step 3: Cross multiply
    232,983,043.10x = 349,978,449.45 × 164,958,595.10
  4. Step 4: Simplify right side
    232,983,043.10x = 57,731,953,336,548,360
  5. Step 5: Solve for x
    x = 57,731,953,336,548,360/232,983,043.10
  6. Step 6: Final answer
    x = 247,794,657.36

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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.