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Finding the Fourth Proportional to 199,296,281.60, 298,991,661.60 and 102,266,964.80

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Solution

The fourth proportional to 199,296,281.60, 298,991,661.60 and 102,266,964.80 is: 153,424,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,296,281.60 : 298,991,661.60 = 102,266,964.80 : x
  2. Step 2: Convert to fraction form
    199,296,281.60/298,991,661.60 = 102,266,964.80/x
  3. Step 3: Cross multiply
    199,296,281.60x = 298,991,661.60 × 102,266,964.80
  4. Step 4: Simplify right side
    199,296,281.60x = 30,576,969,732,340,712
  5. Step 5: Solve for x
    x = 30,576,969,732,340,712/199,296,281.60
  6. Step 6: Final answer
    x = 153,424,687.54

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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.