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Finding the Fourth Proportional to 668,818,521,286.80, 1,003,227,781,930.30 and 668,818,521,286.80

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Solution

The fourth proportional to 668,818,521,286.80, 1,003,227,781,930.30 and 668,818,521,286.80 is: 1,003,227,781,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,521,286.80 : 1,003,227,781,930.30 = 668,818,521,286.80 : x
  2. Step 2: Convert to fraction form
    668,818,521,286.80/1,003,227,781,930.30 = 668,818,521,286.80/x
  3. Step 3: Cross multiply
    668,818,521,286.80x = 1,003,227,781,930.30 × 668,818,521,286.80
  4. Step 4: Simplify right side
    668,818,521,286.80x = 670,977,321,624,459,517,362,176
  5. Step 5: Solve for x
    x = 670,977,321,624,459,517,362,176/668,818,521,286.80
  6. Step 6: Final answer
    x = 1,003,227,781,930.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.