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Finding the Fourth Proportional to 1,013,674,728.70, 1,520,512,093.05 and 323,651,734.30

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Solution

The fourth proportional to 1,013,674,728.70, 1,520,512,093.05 and 323,651,734.30 is: 485,477,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,674,728.70 : 1,520,512,093.05 = 323,651,734.30 : x
  2. Step 2: Convert to fraction form
    1,013,674,728.70/1,520,512,093.05 = 323,651,734.30/x
  3. Step 3: Cross multiply
    1,013,674,728.70x = 1,520,512,093.05 × 323,651,734.30
  4. Step 4: Simplify right side
    1,013,674,728.70x = 492,116,375,939,755,456
  5. Step 5: Solve for x
    x = 492,116,375,939,755,456/1,013,674,728.70
  6. Step 6: Final answer
    x = 485,477,601.45

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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.