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Finding the Fourth Proportional to 778,045,469.34, 1,073,699,537.34 and 420,813,644.90

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Solution

The fourth proportional to 778,045,469.34, 1,073,699,537.34 and 420,813,644.90 is: 580,721,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,045,469.34 : 1,073,699,537.34 = 420,813,644.90 : x
  2. Step 2: Convert to fraction form
    778,045,469.34/1,073,699,537.34 = 420,813,644.90/x
  3. Step 3: Cross multiply
    778,045,469.34x = 1,073,699,537.34 × 420,813,644.90
  4. Step 4: Simplify right side
    778,045,469.34x = 451,827,415,835,489,024
  5. Step 5: Solve for x
    x = 451,827,415,835,489,024/778,045,469.34
  6. Step 6: Final answer
    x = 580,721,093.61

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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.