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Finding the Fourth Proportional to 1,097,905,448,250.50, 1,646,858,172,375.80 and 1,097,905,448,250.50

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Solution

The fourth proportional to 1,097,905,448,250.50, 1,646,858,172,375.80 and 1,097,905,448,250.50 is: 1,646,858,172,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,905,448,250.50 : 1,646,858,172,375.80 = 1,097,905,448,250.50 : x
  2. Step 2: Convert to fraction form
    1,097,905,448,250.50/1,646,858,172,375.80 = 1,097,905,448,250.50/x
  3. Step 3: Cross multiply
    1,097,905,448,250.50x = 1,646,858,172,375.80 × 1,097,905,448,250.50
  4. Step 4: Simplify right side
    1,097,905,448,250.50x = 1,808,094,559,947,251,846,742,016
  5. Step 5: Solve for x
    x = 1,808,094,559,947,251,846,742,016/1,097,905,448,250.50
  6. Step 6: Final answer
    x = 1,646,858,172,375.80

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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.