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Finding the Fourth Proportional to 559,873,469.20, 839,810,203.80 and 494,116,502.80

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Solution

The fourth proportional to 559,873,469.20, 839,810,203.80 and 494,116,502.80 is: 741,174,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,469.20 : 839,810,203.80 = 494,116,502.80 : x
  2. Step 2: Convert to fraction form
    559,873,469.20/839,810,203.80 = 494,116,502.80/x
  3. Step 3: Cross multiply
    559,873,469.20x = 839,810,203.80 × 494,116,502.80
  4. Step 4: Simplify right side
    559,873,469.20x = 414,964,080,917,411,264
  5. Step 5: Solve for x
    x = 414,964,080,917,411,264/559,873,469.20
  6. Step 6: Final answer
    x = 741,174,754.20

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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.