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Finding the Fourth Proportional to 614,151,907.60, 921,227,861.40 and 341,522,674.60

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Solution

The fourth proportional to 614,151,907.60, 921,227,861.40 and 341,522,674.60 is: 512,284,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,151,907.60 : 921,227,861.40 = 341,522,674.60 : x
  2. Step 2: Convert to fraction form
    614,151,907.60/921,227,861.40 = 341,522,674.60/x
  3. Step 3: Cross multiply
    614,151,907.60x = 921,227,861.40 × 341,522,674.60
  4. Step 4: Simplify right side
    614,151,907.60x = 314,620,203,141,366,144
  5. Step 5: Solve for x
    x = 314,620,203,141,366,144/614,151,907.60
  6. Step 6: Final answer
    x = 512,284,011.90

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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.