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Finding the Fourth Proportional to 561,893,304.92, 842,456,876.95 and 285,010,612.67

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Solution

The fourth proportional to 561,893,304.92, 842,456,876.95 and 285,010,612.67 is: 427,321,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,893,304.92 : 842,456,876.95 = 285,010,612.67 : x
  2. Step 2: Convert to fraction form
    561,893,304.92/842,456,876.95 = 285,010,612.67/x
  3. Step 3: Cross multiply
    561,893,304.92x = 842,456,876.95 × 285,010,612.67
  4. Step 4: Simplify right side
    561,893,304.92x = 240,109,150,647,574,336
  5. Step 5: Solve for x
    x = 240,109,150,647,574,336/561,893,304.92
  6. Step 6: Final answer
    x = 427,321,608.12

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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.