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Finding the Fourth Proportional to 245,306,653,524.73, 367,959,980,287.09 and 245,306,653,524.73

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Solution

The fourth proportional to 245,306,653,524.73, 367,959,980,287.09 and 245,306,653,524.73 is: 367,959,980,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,306,653,524.73 : 367,959,980,287.09 = 245,306,653,524.73 : x
  2. Step 2: Convert to fraction form
    245,306,653,524.73/367,959,980,287.09 = 245,306,653,524.73/x
  3. Step 3: Cross multiply
    245,306,653,524.73x = 367,959,980,287.09 × 245,306,653,524.73
  4. Step 4: Simplify right side
    245,306,653,524.73x = 90,263,031,395,251,679,920,128
  5. Step 5: Solve for x
    x = 90,263,031,395,251,679,920,128/245,306,653,524.73
  6. Step 6: Final answer
    x = 367,959,980,287.09

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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.