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Finding the Fourth Proportional to 290,419,511.20, 435,629,266.80 and 224,662,544.80

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Solution

The fourth proportional to 290,419,511.20, 435,629,266.80 and 224,662,544.80 is: 336,993,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,419,511.20 : 435,629,266.80 = 224,662,544.80 : x
  2. Step 2: Convert to fraction form
    290,419,511.20/435,629,266.80 = 224,662,544.80/x
  3. Step 3: Cross multiply
    290,419,511.20x = 435,629,266.80 × 224,662,544.80
  4. Step 4: Simplify right side
    290,419,511.20x = 97,869,579,668,646,160
  5. Step 5: Solve for x
    x = 97,869,579,668,646,160/290,419,511.20
  6. Step 6: Final answer
    x = 336,993,817.20

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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.