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Finding the Fourth Proportional to 1,324,676,478.83, 1,828,065,800.56 and 729,982,245.62

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Solution

The fourth proportional to 1,324,676,478.83, 1,828,065,800.56 and 729,982,245.62 is: 1,007,382,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,676,478.83 : 1,828,065,800.56 = 729,982,245.62 : x
  2. Step 2: Convert to fraction form
    1,324,676,478.83/1,828,065,800.56 = 729,982,245.62/x
  3. Step 3: Cross multiply
    1,324,676,478.83x = 1,828,065,800.56 × 729,982,245.62
  4. Step 4: Simplify right side
    1,324,676,478.83x = 1,334,455,578,233,911,808
  5. Step 5: Solve for x
    x = 1,334,455,578,233,911,808/1,324,676,478.83
  6. Step 6: Final answer
    x = 1,007,382,254.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.