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Finding the Fourth Proportional to 1,008,040,644,582.30, 1,512,060,966,873.40 and 1,008,040,644,582.30

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Solution

The fourth proportional to 1,008,040,644,582.30, 1,512,060,966,873.40 and 1,008,040,644,582.30 is: 1,512,060,966,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,644,582.30 : 1,512,060,966,873.40 = 1,008,040,644,582.30 : x
  2. Step 2: Convert to fraction form
    1,008,040,644,582.30/1,512,060,966,873.40 = 1,008,040,644,582.30/x
  3. Step 3: Cross multiply
    1,008,040,644,582.30x = 1,512,060,966,873.40 × 1,008,040,644,582.30
  4. Step 4: Simplify right side
    1,008,040,644,582.30x = 1,524,218,911,694,797,764,820,992
  5. Step 5: Solve for x
    x = 1,524,218,911,694,797,764,820,992/1,008,040,644,582.30
  6. Step 6: Final answer
    x = 1,512,060,966,873.40

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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.