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Finding the Fourth Proportional to 668,564,928,045.95, 1,002,847,392,068.90 and 668,564,928,045.95

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Solution

The fourth proportional to 668,564,928,045.95, 1,002,847,392,068.90 and 668,564,928,045.95 is: 1,002,847,392,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,564,928,045.95 : 1,002,847,392,068.90 = 668,564,928,045.95 : x
  2. Step 2: Convert to fraction form
    668,564,928,045.95/1,002,847,392,068.90 = 668,564,928,045.95/x
  3. Step 3: Cross multiply
    668,564,928,045.95x = 1,002,847,392,068.90 × 668,564,928,045.95
  4. Step 4: Simplify right side
    668,564,928,045.95x = 670,468,594,519,612,690,792,448
  5. Step 5: Solve for x
    x = 670,468,594,519,612,690,792,448/668,564,928,045.95
  6. Step 6: Final answer
    x = 1,002,847,392,068.90

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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.