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Finding the Fourth Proportional to 514,760,497.24, 700,866,065.56 and 513,126,067.08

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Solution

The fourth proportional to 514,760,497.24, 700,866,065.56 and 513,126,067.08 is: 698,640,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,760,497.24 : 700,866,065.56 = 513,126,067.08 : x
  2. Step 2: Convert to fraction form
    514,760,497.24/700,866,065.56 = 513,126,067.08/x
  3. Step 3: Cross multiply
    514,760,497.24x = 700,866,065.56 × 513,126,067.08
  4. Step 4: Simplify right side
    514,760,497.24x = 359,632,647,770,636,224
  5. Step 5: Solve for x
    x = 359,632,647,770,636,224/514,760,497.24
  6. Step 6: Final answer
    x = 698,640,726.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.