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Finding the Fourth Proportional to 562,196,231.60, 842,174,603.40 and 494,862,292.40

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Solution

The fourth proportional to 562,196,231.60, 842,174,603.40 and 494,862,292.40 is: 741,307,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,196,231.60 : 842,174,603.40 = 494,862,292.40 : x
  2. Step 2: Convert to fraction form
    562,196,231.60/842,174,603.40 = 494,862,292.40/x
  3. Step 3: Cross multiply
    562,196,231.60x = 842,174,603.40 × 494,862,292.40
  4. Step 4: Simplify right side
    562,196,231.60x = 416,760,454,839,584,832
  5. Step 5: Solve for x
    x = 416,760,454,839,584,832/562,196,231.60
  6. Step 6: Final answer
    x = 741,307,805.73

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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.