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Finding the Fourth Proportional to 252,096,953,998.20, 378,145,430,997.30 and 252,096,953,998.20

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Solution

The fourth proportional to 252,096,953,998.20, 378,145,430,997.30 and 252,096,953,998.20 is: 378,145,430,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096,953,998.20 : 378,145,430,997.30 = 252,096,953,998.20 : x
  2. Step 2: Convert to fraction form
    252,096,953,998.20/378,145,430,997.30 = 252,096,953,998.20/x
  3. Step 3: Cross multiply
    252,096,953,998.20x = 378,145,430,997.30 × 252,096,953,998.20
  4. Step 4: Simplify right side
    252,096,953,998.20x = 95,329,311,322,755,852,926,976
  5. Step 5: Solve for x
    x = 95,329,311,322,755,852,926,976/252,096,953,998.20
  6. Step 6: Final answer
    x = 378,145,430,997.30

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Double scale
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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.