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Finding the Fourth Proportional to 493,157,185.19, 739,643,295.02 and 247,447,846.97

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Solution

The fourth proportional to 493,157,185.19, 739,643,295.02 and 247,447,846.97 is: 371,125,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,157,185.19 : 739,643,295.02 = 247,447,846.97 : x
  2. Step 2: Convert to fraction form
    493,157,185.19/739,643,295.02 = 247,447,846.97/x
  3. Step 3: Cross multiply
    493,157,185.19x = 739,643,295.02 × 247,447,846.97
  4. Step 4: Simplify right side
    493,157,185.19x = 183,023,140,873,560,064
  5. Step 5: Solve for x
    x = 183,023,140,873,560,064/493,157,185.19
  6. Step 6: Final answer
    x = 371,125,366.05

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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.