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Finding the Fourth Proportional to 643,392,006.80, 965,088,010.20 and 461,993,478.80

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Solution

The fourth proportional to 643,392,006.80, 965,088,010.20 and 461,993,478.80 is: 692,990,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,392,006.80 : 965,088,010.20 = 461,993,478.80 : x
  2. Step 2: Convert to fraction form
    643,392,006.80/965,088,010.20 = 461,993,478.80/x
  3. Step 3: Cross multiply
    643,392,006.80x = 965,088,010.20 × 461,993,478.80
  4. Step 4: Simplify right side
    643,392,006.80x = 445,864,367,180,467,904
  5. Step 5: Solve for x
    x = 445,864,367,180,467,904/643,392,006.80
  6. Step 6: Final answer
    x = 692,990,218.20

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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.