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Finding the Fourth Proportional to 415,261,379.20, 622,892,068.80 and 415,261,379.20

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Solution

The fourth proportional to 415,261,379.20, 622,892,068.80 and 415,261,379.20 is: 622,892,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,261,379.20 : 622,892,068.80 = 415,261,379.20 : x
  2. Step 2: Convert to fraction form
    415,261,379.20/622,892,068.80 = 415,261,379.20/x
  3. Step 3: Cross multiply
    415,261,379.20x = 622,892,068.80 × 415,261,379.20
  4. Step 4: Simplify right side
    415,261,379.20x = 258,663,019,582,629,248
  5. Step 5: Solve for x
    x = 258,663,019,582,629,248/415,261,379.20
  6. Step 6: Final answer
    x = 622,892,068.80

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Why These Related Problems?

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