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Finding the Fourth Proportional to 317,952,208.80, 476,944,059.60 and 164,897,200.80

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Solution

The fourth proportional to 317,952,208.80, 476,944,059.60 and 164,897,200.80 is: 247,353,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,952,208.80 : 476,944,059.60 = 164,897,200.80 : x
  2. Step 2: Convert to fraction form
    317,952,208.80/476,944,059.60 = 164,897,200.80/x
  3. Step 3: Cross multiply
    317,952,208.80x = 476,944,059.60 × 164,897,200.80
  4. Step 4: Simplify right side
    317,952,208.80x = 78,646,740,366,228,384
  5. Step 5: Solve for x
    x = 78,646,740,366,228,384/317,952,208.80
  6. Step 6: Final answer
    x = 247,353,967.64

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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.