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Finding the Fourth Proportional to 10,082,162,685.60, 15,123,244,028.40 and 10,082,162,685.60

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Solution

The fourth proportional to 10,082,162,685.60, 15,123,244,028.40 and 10,082,162,685.60 is: 15,123,244,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,162,685.60 : 15,123,244,028.40 = 10,082,162,685.60 : x
  2. Step 2: Convert to fraction form
    10,082,162,685.60/15,123,244,028.40 = 10,082,162,685.60/x
  3. Step 3: Cross multiply
    10,082,162,685.60x = 15,123,244,028.40 × 10,082,162,685.60
  4. Step 4: Simplify right side
    10,082,162,685.60x = 152,475,006,628,357,505,024
  5. Step 5: Solve for x
    x = 152,475,006,628,357,505,024/10,082,162,685.60
  6. Step 6: Final answer
    x = 15,123,244,028.40

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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.