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Finding the Fourth Proportional to 299,793,314.76, 413,682,923.88 and 165,809,940.18

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Solution

The fourth proportional to 299,793,314.76, 413,682,923.88 and 165,809,940.18 is: 228,800,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793,314.76 : 413,682,923.88 = 165,809,940.18 : x
  2. Step 2: Convert to fraction form
    299,793,314.76/413,682,923.88 = 165,809,940.18/x
  3. Step 3: Cross multiply
    299,793,314.76x = 413,682,923.88 × 165,809,940.18
  4. Step 4: Simplify right side
    299,793,314.76x = 68,592,740,862,030,296
  5. Step 5: Solve for x
    x = 68,592,740,862,030,296/299,793,314.76
  6. Step 6: Final answer
    x = 228,800,101.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.