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Finding the Fourth Proportional to 774,480,351.80, 1,068,751,787.24 and 422,048,830.98

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Solution

The fourth proportional to 774,480,351.80, 1,068,751,787.24 and 422,048,830.98 is: 582,410,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,480,351.80 : 1,068,751,787.24 = 422,048,830.98 : x
  2. Step 2: Convert to fraction form
    774,480,351.80/1,068,751,787.24 = 422,048,830.98/x
  3. Step 3: Cross multiply
    774,480,351.80x = 1,068,751,787.24 × 422,048,830.98
  4. Step 4: Simplify right side
    774,480,351.80x = 451,065,442,412,427,712
  5. Step 5: Solve for x
    x = 451,065,442,412,427,712/774,480,351.80
  6. Step 6: Final answer
    x = 582,410,439.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.