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Finding the Fourth Proportional to 2,068,579,964,313.40, 3,102,869,946,469.70 and 2,068,579,964,313.40

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Solution

The fourth proportional to 2,068,579,964,313.40, 3,102,869,946,469.70 and 2,068,579,964,313.40 is: 3,102,869,946,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,579,964,313.40 : 3,102,869,946,469.70 = 2,068,579,964,313.40 : x
  2. Step 2: Convert to fraction form
    2,068,579,964,313.40/3,102,869,946,469.70 = 2,068,579,964,313.40/x
  3. Step 3: Cross multiply
    2,068,579,964,313.40x = 3,102,869,946,469.70 × 2,068,579,964,313.40
  4. Step 4: Simplify right side
    2,068,579,964,313.40x = 6,418,534,603,137,413,965,414,400
  5. Step 5: Solve for x
    x = 6,418,534,603,137,413,965,414,400/2,068,579,964,313.40
  6. Step 6: Final answer
    x = 3,102,869,946,469.70

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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.