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Finding the Fourth Proportional to 140,616,072.30, 196,409,004.90 and 140,616,072.30

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Solution

The fourth proportional to 140,616,072.30, 196,409,004.90 and 140,616,072.30 is: 196,409,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,616,072.30 : 196,409,004.90 = 140,616,072.30 : x
  2. Step 2: Convert to fraction form
    140,616,072.30/196,409,004.90 = 140,616,072.30/x
  3. Step 3: Cross multiply
    140,616,072.30x = 196,409,004.90 × 140,616,072.30
  4. Step 4: Simplify right side
    140,616,072.30x = 27,618,262,833,389,456
  5. Step 5: Solve for x
    x = 27,618,262,833,389,456/140,616,072.30
  6. Step 6: Final answer
    x = 196,409,004.90

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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.