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Finding the Fourth Proportional to 428,150,999.70, 600,620,723.10 and 428,150,999.70

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Solution

The fourth proportional to 428,150,999.70, 600,620,723.10 and 428,150,999.70 is: 600,620,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,150,999.70 : 600,620,723.10 = 428,150,999.70 : x
  2. Step 2: Convert to fraction form
    428,150,999.70/600,620,723.10 = 428,150,999.70/x
  3. Step 3: Cross multiply
    428,150,999.70x = 600,620,723.10 × 428,150,999.70
  4. Step 4: Simplify right side
    428,150,999.70x = 257,156,363,035,801,888
  5. Step 5: Solve for x
    x = 257,156,363,035,801,888/428,150,999.70
  6. Step 6: Final answer
    x = 600,620,723.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.