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Finding the Fourth Proportional to 668,818,521,796.30, 1,003,227,782,694.40 and 668,818,521,796.30

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Solution

The fourth proportional to 668,818,521,796.30, 1,003,227,782,694.40 and 668,818,521,796.30 is: 1,003,227,782,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,818,521,796.30 : 1,003,227,782,694.40 = 668,818,521,796.30 : x
  2. Step 2: Convert to fraction form
    668,818,521,796.30/1,003,227,782,694.40 = 668,818,521,796.30/x
  3. Step 3: Cross multiply
    668,818,521,796.30x = 1,003,227,782,694.40 × 668,818,521,796.30
  4. Step 4: Simplify right side
    668,818,521,796.30x = 670,977,322,646,648,312,037,376
  5. Step 5: Solve for x
    x = 670,977,322,646,648,312,037,376/668,818,521,796.30
  6. Step 6: Final answer
    x = 1,003,227,782,694.40

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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.