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Finding the Fourth Proportional to 774,480,363.80, 1,068,751,803.75 and 422,048,842.97

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Solution

The fourth proportional to 774,480,363.80, 1,068,751,803.75 and 422,048,842.97 is: 582,410,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,480,363.80 : 1,068,751,803.75 = 422,048,842.97 : x
  2. Step 2: Convert to fraction form
    774,480,363.80/1,068,751,803.75 = 422,048,842.97/x
  3. Step 3: Cross multiply
    774,480,363.80x = 1,068,751,803.75 × 422,048,842.97
  4. Step 4: Simplify right side
    774,480,363.80x = 451,065,462,194,788,032
  5. Step 5: Solve for x
    x = 451,065,462,194,788,032/774,480,363.80
  6. Step 6: Final answer
    x = 582,410,456.45

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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.