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Finding the Fourth Proportional to 329,993,907.69, 494,683,139.52 and 111,491,442.33

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Solution

The fourth proportional to 329,993,907.69, 494,683,139.52 and 111,491,442.33 is: 167,133,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,993,907.69 : 494,683,139.52 = 111,491,442.33 : x
  2. Step 2: Convert to fraction form
    329,993,907.69/494,683,139.52 = 111,491,442.33/x
  3. Step 3: Cross multiply
    329,993,907.69x = 494,683,139.52 × 111,491,442.33
  4. Step 4: Simplify right side
    329,993,907.69x = 55,152,936,721,417,424
  5. Step 5: Solve for x
    x = 55,152,936,721,417,424/329,993,907.69
  6. Step 6: Final answer
    x = 167,133,196.81

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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.