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Finding the Fourth Proportional to 207,286,930,816.80, 310,930,396,225.20 and 207,286,930,816.80

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Solution

The fourth proportional to 207,286,930,816.80, 310,930,396,225.20 and 207,286,930,816.80 is: 310,930,396,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,286,930,816.80 : 310,930,396,225.20 = 207,286,930,816.80 : x
  2. Step 2: Convert to fraction form
    207,286,930,816.80/310,930,396,225.20 = 207,286,930,816.80/x
  3. Step 3: Cross multiply
    207,286,930,816.80x = 310,930,396,225.20 × 207,286,930,816.80
  4. Step 4: Simplify right side
    207,286,930,816.80x = 64,451,807,531,173,245,091,840
  5. Step 5: Solve for x
    x = 64,451,807,531,173,245,091,840/207,286,930,816.80
  6. Step 6: Final answer
    x = 310,930,396,225.20

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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.