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Finding the Fourth Proportional to 298,835,998.80, 448,253,998.20 and 183,446,379.60

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Solution

The fourth proportional to 298,835,998.80, 448,253,998.20 and 183,446,379.60 is: 275,169,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,835,998.80 : 448,253,998.20 = 183,446,379.60 : x
  2. Step 2: Convert to fraction form
    298,835,998.80/448,253,998.20 = 183,446,379.60/x
  3. Step 3: Cross multiply
    298,835,998.80x = 448,253,998.20 × 183,446,379.60
  4. Step 4: Simplify right side
    298,835,998.80x = 82,230,573,111,014,912
  5. Step 5: Solve for x
    x = 82,230,573,111,014,912/298,835,998.80
  6. Step 6: Final answer
    x = 275,169,569.40

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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.