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Finding the Fourth Proportional to 329,838,432.48, 494,675,890.32 and 111,483,920.16

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Solution

The fourth proportional to 329,838,432.48, 494,675,890.32 and 111,483,920.16 is: 167,198,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838,432.48 : 494,675,890.32 = 111,483,920.16 : x
  2. Step 2: Convert to fraction form
    329,838,432.48/494,675,890.32 = 111,483,920.16/x
  3. Step 3: Cross multiply
    329,838,432.48x = 494,675,890.32 × 111,483,920.16
  4. Step 4: Simplify right side
    329,838,432.48x = 55,148,407,461,511,792
  5. Step 5: Solve for x
    x = 55,148,407,461,511,792/329,838,432.48
  6. Step 6: Final answer
    x = 167,198,246.27

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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.