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Finding the Fourth Proportional to 3,195,843,185, 4,793,764,777.50 and 898,128,497

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Solution

The fourth proportional to 3,195,843,185, 4,793,764,777.50 and 898,128,497 is: 1,347,192,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195,843,185 : 4,793,764,777.50 = 898,128,497 : x
  2. Step 2: Convert to fraction form
    3,195,843,185/4,793,764,777.50 = 898,128,497/x
  3. Step 3: Cross multiply
    3,195,843,185x = 4,793,764,777.50 × 898,128,497
  4. Step 4: Simplify right side
    3,195,843,185x = 4,305,416,754,587,614,208
  5. Step 5: Solve for x
    x = 4,305,416,754,587,614,208/3,195,843,185
  6. Step 6: Final answer
    x = 1,347,192,745.50

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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.