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Finding the Fourth Proportional to 543,027,565,586.55, 814,541,348,379.82 and 543,027,565,586.55

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Solution

The fourth proportional to 543,027,565,586.55, 814,541,348,379.82 and 543,027,565,586.55 is: 814,541,348,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,027,565,586.55 : 814,541,348,379.82 = 543,027,565,586.55 : x
  2. Step 2: Convert to fraction form
    543,027,565,586.55/814,541,348,379.82 = 543,027,565,586.55/x
  3. Step 3: Cross multiply
    543,027,565,586.55x = 814,541,348,379.82 × 543,027,565,586.55
  4. Step 4: Simplify right side
    543,027,565,586.55x = 442,318,405,480,279,542,071,296
  5. Step 5: Solve for x
    x = 442,318,405,480,279,542,071,296/543,027,565,586.55
  6. Step 6: Final answer
    x = 814,541,348,379.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.