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Finding the Fourth Proportional to 422,111,594.98, 582,514,056.30 and 233,952,036.78

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Solution

The fourth proportional to 422,111,594.98, 582,514,056.30 and 233,952,036.78 is: 322,853,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,111,594.98 : 582,514,056.30 = 233,952,036.78 : x
  2. Step 2: Convert to fraction form
    422,111,594.98/582,514,056.30 = 233,952,036.78/x
  3. Step 3: Cross multiply
    422,111,594.98x = 582,514,056.30 × 233,952,036.78
  4. Step 4: Simplify right side
    422,111,594.98x = 136,280,349,924,364,576
  5. Step 5: Solve for x
    x = 136,280,349,924,364,576/422,111,594.98
  6. Step 6: Final answer
    x = 322,853,841.37

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