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Finding the Fourth Proportional to 290,425,969.20, 435,638,953.80 and 224,669,002.80

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Solution

The fourth proportional to 290,425,969.20, 435,638,953.80 and 224,669,002.80 is: 337,003,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,425,969.20 : 435,638,953.80 = 224,669,002.80 : x
  2. Step 2: Convert to fraction form
    290,425,969.20/435,638,953.80 = 224,669,002.80/x
  3. Step 3: Cross multiply
    290,425,969.20x = 435,638,953.80 × 224,669,002.80
  4. Step 4: Simplify right side
    290,425,969.20x = 97,874,569,331,081,280
  5. Step 5: Solve for x
    x = 97,874,569,331,081,280/290,425,969.20
  6. Step 6: Final answer
    x = 337,003,504.20

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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.