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Finding the Fourth Proportional to 196,991,999.80, 295,487,999.70 and 106,292,735.80

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Solution

The fourth proportional to 196,991,999.80, 295,487,999.70 and 106,292,735.80 is: 159,439,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,991,999.80 : 295,487,999.70 = 106,292,735.80 : x
  2. Step 2: Convert to fraction form
    196,991,999.80/295,487,999.70 = 106,292,735.80/x
  3. Step 3: Cross multiply
    196,991,999.80x = 295,487,999.70 × 106,292,735.80
  4. Step 4: Simplify right side
    196,991,999.80x = 31,408,227,884,182,576
  5. Step 5: Solve for x
    x = 31,408,227,884,182,576/196,991,999.80
  6. Step 6: Final answer
    x = 159,439,103.70

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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.