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Finding the Fourth Proportional to 1,566,866,553.84, 2,162,272,611.12 and 862,016,846.40

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Solution

The fourth proportional to 1,566,866,553.84, 2,162,272,611.12 and 862,016,846.40 is: 1,189,581,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,866,553.84 : 2,162,272,611.12 = 862,016,846.40 : x
  2. Step 2: Convert to fraction form
    1,566,866,553.84/2,162,272,611.12 = 862,016,846.40/x
  3. Step 3: Cross multiply
    1,566,866,553.84x = 2,162,272,611.12 × 862,016,846.40
  4. Step 4: Simplify right side
    1,566,866,553.84x = 1,863,915,417,294,755,840
  5. Step 5: Solve for x
    x = 1,863,915,417,294,755,840/1,566,866,553.84
  6. Step 6: Final answer
    x = 1,189,581,469.29

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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.