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Finding the Fourth Proportional to 384,365,107.79, 576,645,978.24 and 111,735,874.79

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Solution

The fourth proportional to 384,365,107.79, 576,645,978.24 and 111,735,874.79 is: 167,632,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,365,107.79 : 576,645,978.24 = 111,735,874.79 : x
  2. Step 2: Convert to fraction form
    384,365,107.79/576,645,978.24 = 111,735,874.79/x
  3. Step 3: Cross multiply
    384,365,107.79x = 576,645,978.24 × 111,735,874.79
  4. Step 4: Simplify right side
    384,365,107.79x = 64,432,042,824,223,320
  5. Step 5: Solve for x
    x = 64,432,042,824,223,320/384,365,107.79
  6. Step 6: Final answer
    x = 167,632,393.05

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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.