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Finding the Fourth Proportional to 233,176,067.40, 349,764,101.10 and 111,978,294.60

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Solution

The fourth proportional to 233,176,067.40, 349,764,101.10 and 111,978,294.60 is: 167,967,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,176,067.40 : 349,764,101.10 = 111,978,294.60 : x
  2. Step 2: Convert to fraction form
    233,176,067.40/349,764,101.10 = 111,978,294.60/x
  3. Step 3: Cross multiply
    233,176,067.40x = 349,764,101.10 × 111,978,294.60
  4. Step 4: Simplify right side
    233,176,067.40x = 39,165,987,553,479,984
  5. Step 5: Solve for x
    x = 39,165,987,553,479,984/233,176,067.40
  6. Step 6: Final answer
    x = 167,967,441.90

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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.