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Finding the Fourth Proportional to 422,056,552.82, 582,470,354.50 and 265,557,807.14

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Solution

The fourth proportional to 422,056,552.82, 582,470,354.50 and 265,557,807.14 is: 366,490,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,056,552.82 : 582,470,354.50 = 265,557,807.14 : x
  2. Step 2: Convert to fraction form
    422,056,552.82/582,470,354.50 = 265,557,807.14/x
  3. Step 3: Cross multiply
    422,056,552.82x = 582,470,354.50 × 265,557,807.14
  4. Step 4: Simplify right side
    422,056,552.82x = 154,679,550,065,078,432
  5. Step 5: Solve for x
    x = 154,679,550,065,078,432/422,056,552.82
  6. Step 6: Final answer
    x = 366,490,104.30

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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.