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Finding the Fourth Proportional to 1,093,866,543.91, 1,509,535,904.27 and 598,829,252.41

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Solution

The fourth proportional to 1,093,866,543.91, 1,509,535,904.27 and 598,829,252.41 is: 826,384,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,866,543.91 : 1,509,535,904.27 = 598,829,252.41 : x
  2. Step 2: Convert to fraction form
    1,093,866,543.91/1,509,535,904.27 = 598,829,252.41/x
  3. Step 3: Cross multiply
    1,093,866,543.91x = 1,509,535,904.27 × 598,829,252.41
  4. Step 4: Simplify right side
    1,093,866,543.91x = 903,954,257,037,780,736
  5. Step 5: Solve for x
    x = 903,954,257,037,780,736/1,093,866,543.91
  6. Step 6: Final answer
    x = 826,384,408.66

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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.