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Finding the Fourth Proportional to 322,969,228,848.20, 484,453,843,272.30 and 322,969,228,848.20

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Solution

The fourth proportional to 322,969,228,848.20, 484,453,843,272.30 and 322,969,228,848.20 is: 484,453,843,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,969,228,848.20 : 484,453,843,272.30 = 322,969,228,848.20 : x
  2. Step 2: Convert to fraction form
    322,969,228,848.20/484,453,843,272.30 = 322,969,228,848.20/x
  3. Step 3: Cross multiply
    322,969,228,848.20x = 484,453,843,272.30 × 322,969,228,848.20
  4. Step 4: Simplify right side
    322,969,228,848.20x = 156,463,684,174,201,462,194,176
  5. Step 5: Solve for x
    x = 156,463,684,174,201,462,194,176/322,969,228,848.20
  6. Step 6: Final answer
    x = 484,453,843,272.30

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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.