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Finding the Fourth Proportional to 332,690,459,626.80, 499,035,689,440.20 and 332,690,459,626.80

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Solution

The fourth proportional to 332,690,459,626.80, 499,035,689,440.20 and 332,690,459,626.80 is: 499,035,689,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,690,459,626.80 : 499,035,689,440.20 = 332,690,459,626.80 : x
  2. Step 2: Convert to fraction form
    332,690,459,626.80/499,035,689,440.20 = 332,690,459,626.80/x
  3. Step 3: Cross multiply
    332,690,459,626.80x = 499,035,689,440.20 × 332,690,459,626.80
  4. Step 4: Simplify right side
    332,690,459,626.80x = 166,024,412,890,037,170,995,200
  5. Step 5: Solve for x
    x = 166,024,412,890,037,170,995,200/332,690,459,626.80
  6. Step 6: Final answer
    x = 499,035,689,440.20

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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.