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Finding the Fourth Proportional to 422,056,546.07, 582,470,345.18 and 265,557,800.39

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Solution

The fourth proportional to 422,056,546.07, 582,470,345.18 and 265,557,800.39 is: 366,490,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,056,546.07 : 582,470,345.18 = 265,557,800.39 : x
  2. Step 2: Convert to fraction form
    422,056,546.07/582,470,345.18 = 265,557,800.39/x
  3. Step 3: Cross multiply
    422,056,546.07x = 582,470,345.18 × 265,557,800.39
  4. Step 4: Simplify right side
    422,056,546.07x = 154,679,543,656,156,384
  5. Step 5: Solve for x
    x = 154,679,543,656,156,384/422,056,546.07
  6. Step 6: Final answer
    x = 366,490,094.98

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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.