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Finding the Fourth Proportional to 6,970,764,043.30, 9,783,558,461.90 and 6,970,764,043.30

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Solution

The fourth proportional to 6,970,764,043.30, 9,783,558,461.90 and 6,970,764,043.30 is: 9,783,558,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,764,043.30 : 9,783,558,461.90 = 6,970,764,043.30 : x
  2. Step 2: Convert to fraction form
    6,970,764,043.30/9,783,558,461.90 = 6,970,764,043.30/x
  3. Step 3: Cross multiply
    6,970,764,043.30x = 9,783,558,461.90 × 6,970,764,043.30
  4. Step 4: Simplify right side
    6,970,764,043.30x = 68,198,877,541,735,972,864
  5. Step 5: Solve for x
    x = 68,198,877,541,735,972,864/6,970,764,043.30
  6. Step 6: Final answer
    x = 9,783,558,461.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.