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Finding the Fourth Proportional to 380,250,912.83, 569,636,288.44 and 280,358,605.26

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Solution

The fourth proportional to 380,250,912.83, 569,636,288.44 and 280,358,605.26 is: 419,992,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,250,912.83 : 569,636,288.44 = 280,358,605.26 : x
  2. Step 2: Convert to fraction form
    380,250,912.83/569,636,288.44 = 280,358,605.26/x
  3. Step 3: Cross multiply
    380,250,912.83x = 569,636,288.44 × 280,358,605.26
  4. Step 4: Simplify right side
    380,250,912.83x = 159,702,435,331,820,544
  5. Step 5: Solve for x
    x = 159,702,435,331,820,544/380,250,912.83
  6. Step 6: Final answer
    x = 419,992,247.08

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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.