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Finding the Fourth Proportional to 3,661,216,848,008.40, 5,491,825,272,012.40 and 3,661,216,848,008.40

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Solution

The fourth proportional to 3,661,216,848,008.40, 5,491,825,272,012.40 and 3,661,216,848,008.40 is: 5,491,825,272,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661,216,848,008.40 : 5,491,825,272,012.40 = 3,661,216,848,008.40 : x
  2. Step 2: Convert to fraction form
    3,661,216,848,008.40/5,491,825,272,012.40 = 3,661,216,848,008.40/x
  3. Step 3: Cross multiply
    3,661,216,848,008.40x = 5,491,825,272,012.40 × 3,661,216,848,008.40
  4. Step 4: Simplify right side
    3,661,216,848,008.40x = 20,106,763,212,210,113,597,145,088
  5. Step 5: Solve for x
    x = 20,106,763,212,210,113,597,145,088/3,661,216,848,008.40
  6. Step 6: Final answer
    x = 5,491,825,272,012.40

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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.