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Finding the Fourth Proportional to 1,863,247,564.80, 2,794,479,436.80 and 942,258,124.80

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Solution

The fourth proportional to 1,863,247,564.80, 2,794,479,436.80 and 942,258,124.80 is: 1,413,188,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,247,564.80 : 2,794,479,436.80 = 942,258,124.80 : x
  2. Step 2: Convert to fraction form
    1,863,247,564.80/2,794,479,436.80 = 942,258,124.80/x
  3. Step 3: Cross multiply
    1,863,247,564.80x = 2,794,479,436.80 × 942,258,124.80
  4. Step 4: Simplify right side
    1,863,247,564.80x = 2,633,120,953,911,328,256
  5. Step 5: Solve for x
    x = 2,633,120,953,911,328,256/1,863,247,564.80
  6. Step 6: Final answer
    x = 1,413,188,995.20

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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.