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Finding the Fourth Proportional to 252,010,161,277.70, 378,015,241,916.55 and 252,010,161,277.70

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Solution

The fourth proportional to 252,010,161,277.70, 378,015,241,916.55 and 252,010,161,277.70 is: 378,015,241,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,010,161,277.70 : 378,015,241,916.55 = 252,010,161,277.70 : x
  2. Step 2: Convert to fraction form
    252,010,161,277.70/378,015,241,916.55 = 252,010,161,277.70/x
  3. Step 3: Cross multiply
    252,010,161,277.70x = 378,015,241,916.55 × 252,010,161,277.70
  4. Step 4: Simplify right side
    252,010,161,277.70x = 95,263,682,080,818,551,848,960
  5. Step 5: Solve for x
    x = 95,263,682,080,818,551,848,960/252,010,161,277.70
  6. Step 6: Final answer
    x = 378,015,241,916.55

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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.