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Finding the Fourth Proportional to 3,288,302,401.70, 4,932,453,602.55 and 3,288,302,401.70

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Solution

The fourth proportional to 3,288,302,401.70, 4,932,453,602.55 and 3,288,302,401.70 is: 4,932,453,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,302,401.70 : 4,932,453,602.55 = 3,288,302,401.70 : x
  2. Step 2: Convert to fraction form
    3,288,302,401.70/4,932,453,602.55 = 3,288,302,401.70/x
  3. Step 3: Cross multiply
    3,288,302,401.70x = 4,932,453,602.55 × 3,288,302,401.70
  4. Step 4: Simplify right side
    3,288,302,401.70x = 16,219,399,027,538,982,912
  5. Step 5: Solve for x
    x = 16,219,399,027,538,982,912/3,288,302,401.70
  6. Step 6: Final answer
    x = 4,932,453,602.55

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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.