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Finding the Fourth Proportional to 464,593,672.88, 641,274,658.12 and 303,681,031.44

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Solution

The fourth proportional to 464,593,672.88, 641,274,658.12 and 303,681,031.44 is: 419,168,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,593,672.88 : 641,274,658.12 = 303,681,031.44 : x
  2. Step 2: Convert to fraction form
    464,593,672.88/641,274,658.12 = 303,681,031.44/x
  3. Step 3: Cross multiply
    464,593,672.88x = 641,274,658.12 × 303,681,031.44
  4. Step 4: Simplify right side
    464,593,672.88x = 194,742,949,614,214,976
  5. Step 5: Solve for x
    x = 194,742,949,614,214,976/464,593,672.88
  6. Step 6: Final answer
    x = 419,168,320.58

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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.