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Finding the Fourth Proportional to 207,462,190,970.55, 311,193,286,455.82 and 207,462,190,970.55

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Solution

The fourth proportional to 207,462,190,970.55, 311,193,286,455.82 and 207,462,190,970.55 is: 311,193,286,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,462,190,970.55 : 311,193,286,455.82 = 207,462,190,970.55 : x
  2. Step 2: Convert to fraction form
    207,462,190,970.55/311,193,286,455.82 = 207,462,190,970.55/x
  3. Step 3: Cross multiply
    207,462,190,970.55x = 311,193,286,455.82 × 207,462,190,970.55
  4. Step 4: Simplify right side
    207,462,190,970.55x = 64,560,841,023,450,398,064,640
  5. Step 5: Solve for x
    x = 64,560,841,023,450,398,064,640/207,462,190,970.55
  6. Step 6: Final answer
    x = 311,193,286,455.82

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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.