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Finding the Fourth Proportional to 499,689,218,769.60, 749,628,836,100 and 164,400,796,044.48

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Solution

The fourth proportional to 499,689,218,769.60, 749,628,836,100 and 164,400,796,044.48 is: 246,632,452,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,689,218,769.60 : 749,628,836,100 = 164,400,796,044.48 : x
  2. Step 2: Convert to fraction form
    499,689,218,769.60/749,628,836,100 = 164,400,796,044.48/x
  3. Step 3: Cross multiply
    499,689,218,769.60x = 749,628,836,100 × 164,400,796,044.48
  4. Step 4: Simplify right side
    499,689,218,769.60x = 123,239,577,392,737,033,388,032
  5. Step 5: Solve for x
    x = 123,239,577,392,737,033,388,032/499,689,218,769.60
  6. Step 6: Final answer
    x = 246,632,452,259.41

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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.