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Finding the Fourth Proportional to 552,328,838.92, 762,212,234.82 and 304,808,423.32

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Solution

The fourth proportional to 552,328,838.92, 762,212,234.82 and 304,808,423.32 is: 420,634,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,328,838.92 : 762,212,234.82 = 304,808,423.32 : x
  2. Step 2: Convert to fraction form
    552,328,838.92/762,212,234.82 = 304,808,423.32/x
  3. Step 3: Cross multiply
    552,328,838.92x = 762,212,234.82 × 304,808,423.32
  4. Step 4: Simplify right side
    552,328,838.92x = 232,328,709,530,697,824
  5. Step 5: Solve for x
    x = 232,328,709,530,697,824/552,328,838.92
  6. Step 6: Final answer
    x = 420,634,761.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.