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Finding the Fourth Proportional to 668,818,517,476.70, 1,003,227,776,215.10 and 668,818,517,476.70

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Solution

The fourth proportional to 668,818,517,476.70, 1,003,227,776,215.10 and 668,818,517,476.70 is: 1,003,227,776,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,517,476.70 : 1,003,227,776,215.10 = 668,818,517,476.70 : x
  2. Step 2: Convert to fraction form
    668,818,517,476.70/1,003,227,776,215.10 = 668,818,517,476.70/x
  3. Step 3: Cross multiply
    668,818,517,476.70x = 1,003,227,776,215.10 × 668,818,517,476.70
  4. Step 4: Simplify right side
    668,818,517,476.70x = 670,977,313,979,629,660,274,688
  5. Step 5: Solve for x
    x = 670,977,313,979,629,660,274,688/668,818,517,476.70
  6. Step 6: Final answer
    x = 1,003,227,776,215.10

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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.