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Finding the Fourth Proportional to 290,425,801.70, 435,638,702.55 and 224,668,835.30

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Solution

The fourth proportional to 290,425,801.70, 435,638,702.55 and 224,668,835.30 is: 337,003,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,425,801.70 : 435,638,702.55 = 224,668,835.30 : x
  2. Step 2: Convert to fraction form
    290,425,801.70/435,638,702.55 = 224,668,835.30/x
  3. Step 3: Cross multiply
    290,425,801.70x = 435,638,702.55 × 224,668,835.30
  4. Step 4: Simplify right side
    290,425,801.70x = 97,874,439,913,511,648
  5. Step 5: Solve for x
    x = 97,874,439,913,511,648/290,425,801.70
  6. Step 6: Final answer
    x = 337,003,252.95

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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.