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Finding the Fourth Proportional to 252,010,161,268.70, 378,015,241,903.05 and 252,010,161,268.70

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Solution

The fourth proportional to 252,010,161,268.70, 378,015,241,903.05 and 252,010,161,268.70 is: 378,015,241,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,010,161,268.70 : 378,015,241,903.05 = 252,010,161,268.70 : x
  2. Step 2: Convert to fraction form
    252,010,161,268.70/378,015,241,903.05 = 252,010,161,268.70/x
  3. Step 3: Cross multiply
    252,010,161,268.70x = 378,015,241,903.05 × 252,010,161,268.70
  4. Step 4: Simplify right side
    252,010,161,268.70x = 95,263,682,074,014,266,687,488
  5. Step 5: Solve for x
    x = 95,263,682,074,014,266,687,488/252,010,161,268.70
  6. Step 6: Final answer
    x = 378,015,241,903.05

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1.5x scale

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.