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Finding the Fourth Proportional to 230,055,308,998.20, 345,082,963,497.30 and 230,055,308,998.20

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Solution

The fourth proportional to 230,055,308,998.20, 345,082,963,497.30 and 230,055,308,998.20 is: 345,082,963,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,055,308,998.20 : 345,082,963,497.30 = 230,055,308,998.20 : x
  2. Step 2: Convert to fraction form
    230,055,308,998.20/345,082,963,497.30 = 230,055,308,998.20/x
  3. Step 3: Cross multiply
    230,055,308,998.20x = 345,082,963,497.30 × 230,055,308,998.20
  4. Step 4: Simplify right side
    230,055,308,998.20x = 79,388,167,797,385,921,036,288
  5. Step 5: Solve for x
    x = 79,388,167,797,385,921,036,288/230,055,308,998.20
  6. Step 6: Final answer
    x = 345,082,963,497.30

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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.