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Finding the Fourth Proportional to 874,255,644.63, 1,311,239,824.11 and 313,901,474.04

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Solution

The fourth proportional to 874,255,644.63, 1,311,239,824.11 and 313,901,474.04 is: 470,800,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,255,644.63 : 1,311,239,824.11 = 313,901,474.04 : x
  2. Step 2: Convert to fraction form
    874,255,644.63/1,311,239,824.11 = 313,901,474.04/x
  3. Step 3: Cross multiply
    874,255,644.63x = 1,311,239,824.11 × 313,901,474.04
  4. Step 4: Simplify right side
    874,255,644.63x = 411,600,113,608,079,296
  5. Step 5: Solve for x
    x = 411,600,113,608,079,296/874,255,644.63
  6. Step 6: Final answer
    x = 470,800,636.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.