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Finding the Fourth Proportional to 556,720,512,018.56, 835,080,768,027.80 and 556,720,512,018.56

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Solution

The fourth proportional to 556,720,512,018.56, 835,080,768,027.80 and 556,720,512,018.56 is: 835,080,768,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,720,512,018.56 : 835,080,768,027.80 = 556,720,512,018.56 : x
  2. Step 2: Convert to fraction form
    556,720,512,018.56/835,080,768,027.80 = 556,720,512,018.56/x
  3. Step 3: Cross multiply
    556,720,512,018.56x = 835,080,768,027.80 × 556,720,512,018.56
  4. Step 4: Simplify right side
    556,720,512,018.56x = 464,906,592,753,289,198,043,136
  5. Step 5: Solve for x
    x = 464,906,592,753,289,198,043,136/556,720,512,018.56
  6. Step 6: Final answer
    x = 835,080,768,027.80

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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.