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Finding the Fourth Proportional to 199,405,890.30, 299,108,835.46 and 199,405,890.30

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Solution

The fourth proportional to 199,405,890.30, 299,108,835.46 and 199,405,890.30 is: 299,108,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405,890.30 : 299,108,835.46 = 199,405,890.30 : x
  2. Step 2: Convert to fraction form
    199,405,890.30/299,108,835.46 = 199,405,890.30/x
  3. Step 3: Cross multiply
    199,405,890.30x = 299,108,835.46 × 199,405,890.30
  4. Step 4: Simplify right side
    199,405,890.30x = 59,644,063,631,497,512
  5. Step 5: Solve for x
    x = 59,644,063,631,497,512/199,405,890.30
  6. Step 6: Final answer
    x = 299,108,835.46

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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.