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Finding the Fourth Proportional to 255,624,279.60, 383,436,419.40 and 214,809,610.80

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Solution

The fourth proportional to 255,624,279.60, 383,436,419.40 and 214,809,610.80 is: 322,214,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,624,279.60 : 383,436,419.40 = 214,809,610.80 : x
  2. Step 2: Convert to fraction form
    255,624,279.60/383,436,419.40 = 214,809,610.80/x
  3. Step 3: Cross multiply
    255,624,279.60x = 383,436,419.40 × 214,809,610.80
  4. Step 4: Simplify right side
    255,624,279.60x = 82,365,828,017,859,568
  5. Step 5: Solve for x
    x = 82,365,828,017,859,568/255,624,279.60
  6. Step 6: Final answer
    x = 322,214,416.20

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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.