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Finding the Fourth Proportional to 2,869,344,548.80, 4,297,214,378.40 and 2,869,344,548.80

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Solution

The fourth proportional to 2,869,344,548.80, 4,297,214,378.40 and 2,869,344,548.80 is: 4,297,214,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,344,548.80 : 4,297,214,378.40 = 2,869,344,548.80 : x
  2. Step 2: Convert to fraction form
    2,869,344,548.80/4,297,214,378.40 = 2,869,344,548.80/x
  3. Step 3: Cross multiply
    2,869,344,548.80x = 4,297,214,378.40 × 2,869,344,548.80
  4. Step 4: Simplify right side
    2,869,344,548.80x = 12,330,188,651,687,020,544
  5. Step 5: Solve for x
    x = 12,330,188,651,687,020,544/2,869,344,548.80
  6. Step 6: Final answer
    x = 4,297,214,378.40

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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.