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Finding the Fourth Proportional to 297,960,816,099.80, 446,941,224,149.68 and 297,960,816,099.80

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Solution

The fourth proportional to 297,960,816,099.80, 446,941,224,149.68 and 297,960,816,099.80 is: 446,941,224,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,960,816,099.80 : 446,941,224,149.68 = 297,960,816,099.80 : x
  2. Step 2: Convert to fraction form
    297,960,816,099.80/446,941,224,149.68 = 297,960,816,099.80/x
  3. Step 3: Cross multiply
    297,960,816,099.80x = 446,941,224,149.68 × 297,960,816,099.80
  4. Step 4: Simplify right side
    297,960,816,099.80x = 133,170,971,896,282,290,847,744
  5. Step 5: Solve for x
    x = 133,170,971,896,282,290,847,744/297,960,816,099.80
  6. Step 6: Final answer
    x = 446,941,224,149.68

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1.5x scale

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.