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Finding the Fourth Proportional to 668,564,928,045.05, 1,002,847,392,067.60 and 668,564,928,045.05

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Solution

The fourth proportional to 668,564,928,045.05, 1,002,847,392,067.60 and 668,564,928,045.05 is: 1,002,847,392,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,564,928,045.05 : 1,002,847,392,067.60 = 668,564,928,045.05 : x
  2. Step 2: Convert to fraction form
    668,564,928,045.05/1,002,847,392,067.60 = 668,564,928,045.05/x
  3. Step 3: Cross multiply
    668,564,928,045.05x = 1,002,847,392,067.60 × 668,564,928,045.05
  4. Step 4: Simplify right side
    668,564,928,045.05x = 670,468,594,517,841,016,782,848
  5. Step 5: Solve for x
    x = 670,468,594,517,841,016,782,848/668,564,928,045.05
  6. Step 6: Final answer
    x = 1,002,847,392,067.60

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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.