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Finding the Fourth Proportional to 677,949,674.52, 1,014,949,015.19 and 503,843,624.21

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Solution

The fourth proportional to 677,949,674.52, 1,014,949,015.19 and 503,843,624.21 is: 754,297,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,949,674.52 : 1,014,949,015.19 = 503,843,624.21 : x
  2. Step 2: Convert to fraction form
    677,949,674.52/1,014,949,015.19 = 503,843,624.21/x
  3. Step 3: Cross multiply
    677,949,674.52x = 1,014,949,015.19 × 503,843,624.21
  4. Step 4: Simplify right side
    677,949,674.52x = 511,375,590,204,917,696
  5. Step 5: Solve for x
    x = 511,375,590,204,917,696/677,949,674.52
  6. Step 6: Final answer
    x = 754,297,272.23

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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.