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Finding the Fourth Proportional to 207,462,190,969.80, 311,193,286,454.70 and 207,462,190,969.80

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Solution

The fourth proportional to 207,462,190,969.80, 311,193,286,454.70 and 207,462,190,969.80 is: 311,193,286,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,462,190,969.80 : 311,193,286,454.70 = 207,462,190,969.80 : x
  2. Step 2: Convert to fraction form
    207,462,190,969.80/311,193,286,454.70 = 207,462,190,969.80/x
  3. Step 3: Cross multiply
    207,462,190,969.80x = 311,193,286,454.70 × 207,462,190,969.80
  4. Step 4: Simplify right side
    207,462,190,969.80x = 64,560,841,022,984,645,771,264
  5. Step 5: Solve for x
    x = 64,560,841,022,984,645,771,264/207,462,190,969.80
  6. Step 6: Final answer
    x = 311,193,286,454.70

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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.