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Finding the Fourth Proportional to 570,297,492,093.20, 855,446,238,139.75 and 570,297,492,093.20

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Solution

The fourth proportional to 570,297,492,093.20, 855,446,238,139.75 and 570,297,492,093.20 is: 855,446,238,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,297,492,093.20 : 855,446,238,139.75 = 570,297,492,093.20 : x
  2. Step 2: Convert to fraction form
    570,297,492,093.20/855,446,238,139.75 = 570,297,492,093.20/x
  3. Step 3: Cross multiply
    570,297,492,093.20x = 855,446,238,139.75 × 570,297,492,093.20
  4. Step 4: Simplify right side
    570,297,492,093.20x = 487,858,844,231,661,711,785,984
  5. Step 5: Solve for x
    x = 487,858,844,231,661,711,785,984/570,297,492,093.20
  6. Step 6: Final answer
    x = 855,446,238,139.75

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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.