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Finding the Fourth Proportional to 327,564,525,232.90, 491,346,787,849.35 and 327,564,525,232.90

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Solution

The fourth proportional to 327,564,525,232.90, 491,346,787,849.35 and 327,564,525,232.90 is: 491,346,787,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,525,232.90 : 491,346,787,849.35 = 327,564,525,232.90 : x
  2. Step 2: Convert to fraction form
    327,564,525,232.90/491,346,787,849.35 = 327,564,525,232.90/x
  3. Step 3: Cross multiply
    327,564,525,232.90x = 491,346,787,849.35 × 327,564,525,232.90
  4. Step 4: Simplify right side
    327,564,525,232.90x = 160,947,777,286,582,776,627,200
  5. Step 5: Solve for x
    x = 160,947,777,286,582,776,627,200/327,564,525,232.90
  6. Step 6: Final answer
    x = 491,346,787,849.35

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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.