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Finding the Fourth Proportional to 149,797,414,930.80, 224,696,122,396.20 and 149,797,414,930.80

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Solution

The fourth proportional to 149,797,414,930.80, 224,696,122,396.20 and 149,797,414,930.80 is: 224,696,122,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797,414,930.80 : 224,696,122,396.20 = 149,797,414,930.80 : x
  2. Step 2: Convert to fraction form
    149,797,414,930.80/224,696,122,396.20 = 149,797,414,930.80/x
  3. Step 3: Cross multiply
    149,797,414,930.80x = 224,696,122,396.20 × 149,797,414,930.80
  4. Step 4: Simplify right side
    149,797,414,930.80x = 33,658,898,279,925,391,818,752
  5. Step 5: Solve for x
    x = 33,658,898,279,925,391,818,752/149,797,414,930.80
  6. Step 6: Final answer
    x = 224,696,122,396.20

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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.