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Finding the Fourth Proportional to 965,754,964.60, 1,448,738,735.10 and 310,594,499.80

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Solution

The fourth proportional to 965,754,964.60, 1,448,738,735.10 and 310,594,499.80 is: 465,925,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,754,964.60 : 1,448,738,735.10 = 310,594,499.80 : x
  2. Step 2: Convert to fraction form
    965,754,964.60/1,448,738,735.10 = 310,594,499.80/x
  3. Step 3: Cross multiply
    965,754,964.60x = 1,448,738,735.10 × 310,594,499.80
  4. Step 4: Simplify right side
    965,754,964.60x = 449,970,282,769,269,184
  5. Step 5: Solve for x
    x = 449,970,282,769,269,184/965,754,964.60
  6. Step 6: Final answer
    x = 465,925,932.83

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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.