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Finding the Fourth Proportional to 339,538,893.60, 509,308,340.40 and 339,538,893.60

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Solution

The fourth proportional to 339,538,893.60, 509,308,340.40 and 339,538,893.60 is: 509,308,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,538,893.60 : 509,308,340.40 = 339,538,893.60 : x
  2. Step 2: Convert to fraction form
    339,538,893.60/509,308,340.40 = 339,538,893.60/x
  3. Step 3: Cross multiply
    339,538,893.60x = 509,308,340.40 × 339,538,893.60
  4. Step 4: Simplify right side
    339,538,893.60x = 172,929,990,400,668,192
  5. Step 5: Solve for x
    x = 172,929,990,400,668,192/339,538,893.60
  6. Step 6: Final answer
    x = 509,308,340.40

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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.