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Finding the Fourth Proportional to 559,873,107.20, 839,809,660.80 and 384,521,196.80

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Solution

The fourth proportional to 559,873,107.20, 839,809,660.80 and 384,521,196.80 is: 576,781,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,107.20 : 839,809,660.80 = 384,521,196.80 : x
  2. Step 2: Convert to fraction form
    559,873,107.20/839,809,660.80 = 384,521,196.80/x
  3. Step 3: Cross multiply
    559,873,107.20x = 839,809,660.80 × 384,521,196.80
  4. Step 4: Simplify right side
    559,873,107.20x = 322,924,615,855,018,048
  5. Step 5: Solve for x
    x = 322,924,615,855,018,048/559,873,107.20
  6. Step 6: Final answer
    x = 576,781,795.20

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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.