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Finding the Fourth Proportional to 580,336,714.90, 869,371,331.55 and 349,620,462.10

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Solution

The fourth proportional to 580,336,714.90, 869,371,331.55 and 349,620,462.10 is: 523,747,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,336,714.90 : 869,371,331.55 = 349,620,462.10 : x
  2. Step 2: Convert to fraction form
    580,336,714.90/869,371,331.55 = 349,620,462.10/x
  3. Step 3: Cross multiply
    580,336,714.90x = 869,371,331.55 × 349,620,462.10
  4. Step 4: Simplify right side
    580,336,714.90x = 303,950,006,673,003,328
  5. Step 5: Solve for x
    x = 303,950,006,673,003,328/580,336,714.90
  6. Step 6: Final answer
    x = 523,747,677.63

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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.