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Finding the Fourth Proportional to 207,462,190,967.55, 311,193,286,451.32 and 207,462,190,967.55

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Solution

The fourth proportional to 207,462,190,967.55, 311,193,286,451.32 and 207,462,190,967.55 is: 311,193,286,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,462,190,967.55 : 311,193,286,451.32 = 207,462,190,967.55 : x
  2. Step 2: Convert to fraction form
    207,462,190,967.55/311,193,286,451.32 = 207,462,190,967.55/x
  3. Step 3: Cross multiply
    207,462,190,967.55x = 311,193,286,451.32 × 207,462,190,967.55
  4. Step 4: Simplify right side
    207,462,190,967.55x = 64,560,841,021,583,236,530,176
  5. Step 5: Solve for x
    x = 64,560,841,021,583,236,530,176/207,462,190,967.55
  6. Step 6: Final answer
    x = 311,193,286,451.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.