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Finding the Fourth Proportional to 224,228,739,951.30, 313,332,504,701.10 and 224,228,739,951.30

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Solution

The fourth proportional to 224,228,739,951.30, 313,332,504,701.10 and 224,228,739,951.30 is: 313,332,504,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,228,739,951.30 : 313,332,504,701.10 = 224,228,739,951.30 : x
  2. Step 2: Convert to fraction form
    224,228,739,951.30/313,332,504,701.10 = 224,228,739,951.30/x
  3. Step 3: Cross multiply
    224,228,739,951.30x = 313,332,504,701.10 × 224,228,739,951.30
  4. Step 4: Simplify right side
    224,228,739,951.30x = 70,258,152,714,912,424,525,824
  5. Step 5: Solve for x
    x = 70,258,152,714,912,424,525,824/224,228,739,951.30
  6. Step 6: Final answer
    x = 313,332,504,701.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.