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Finding the Fourth Proportional to 668,564,928,015.70, 1,002,847,392,023.60 and 668,564,928,015.70

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Solution

The fourth proportional to 668,564,928,015.70, 1,002,847,392,023.60 and 668,564,928,015.70 is: 1,002,847,392,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,564,928,015.70 : 1,002,847,392,023.60 = 668,564,928,015.70 : x
  2. Step 2: Convert to fraction form
    668,564,928,015.70/1,002,847,392,023.60 = 668,564,928,015.70/x
  3. Step 3: Cross multiply
    668,564,928,015.70x = 1,002,847,392,023.60 × 668,564,928,015.70
  4. Step 4: Simplify right side
    668,564,928,015.70x = 670,468,594,458,990,569,586,688
  5. Step 5: Solve for x
    x = 670,468,594,458,990,569,586,688/668,564,928,015.70
  6. Step 6: Final answer
    x = 1,002,847,392,023.60

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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.