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Finding the Fourth Proportional to 252,183,978,116.70, 378,275,967,175.10 and 252,183,978,116.70

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Solution

The fourth proportional to 252,183,978,116.70, 378,275,967,175.10 and 252,183,978,116.70 is: 378,275,967,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,183,978,116.70 : 378,275,967,175.10 = 252,183,978,116.70 : x
  2. Step 2: Convert to fraction form
    252,183,978,116.70/378,275,967,175.10 = 252,183,978,116.70/x
  3. Step 3: Cross multiply
    252,183,978,116.70x = 378,275,967,175.10 × 252,183,978,116.70
  4. Step 4: Simplify right side
    252,183,978,116.70x = 95,395,138,228,158,952,636,416
  5. Step 5: Solve for x
    x = 95,395,138,228,158,952,636,416/252,183,978,116.70
  6. Step 6: Final answer
    x = 378,275,967,175.10

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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.