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Finding the Fourth Proportional to 10,082,145,762.60, 15,123,218,643.90 and 10,082,145,762.60

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Solution

The fourth proportional to 10,082,145,762.60, 15,123,218,643.90 and 10,082,145,762.60 is: 15,123,218,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,145,762.60 : 15,123,218,643.90 = 10,082,145,762.60 : x
  2. Step 2: Convert to fraction form
    10,082,145,762.60/15,123,218,643.90 = 10,082,145,762.60/x
  3. Step 3: Cross multiply
    10,082,145,762.60x = 15,123,218,643.90 × 10,082,145,762.60
  4. Step 4: Simplify right side
    10,082,145,762.60x = 152,474,494,767,469,690,880
  5. Step 5: Solve for x
    x = 152,474,494,767,469,690,880/10,082,145,762.60
  6. Step 6: Final answer
    x = 15,123,218,643.90

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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.