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Finding the Fourth Proportional to 465,684,073.50, 699,010,609.05 and 343,000,920.54

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Solution

The fourth proportional to 465,684,073.50, 699,010,609.05 and 343,000,920.54 is: 514,858,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,684,073.50 : 699,010,609.05 = 343,000,920.54 : x
  2. Step 2: Convert to fraction form
    465,684,073.50/699,010,609.05 = 343,000,920.54/x
  3. Step 3: Cross multiply
    465,684,073.50x = 699,010,609.05 × 343,000,920.54
  4. Step 4: Simplify right side
    465,684,073.50x = 239,761,282,371,376,064
  5. Step 5: Solve for x
    x = 239,761,282,371,376,064/465,684,073.50
  6. Step 6: Final answer
    x = 514,858,239.77

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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.