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Finding the Fourth Proportional to 734,217,683.88, 1,101,559,494.84 and 216,650,649

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Solution

The fourth proportional to 734,217,683.88, 1,101,559,494.84 and 216,650,649 is: 325,044,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,217,683.88 : 1,101,559,494.84 = 216,650,649 : x
  2. Step 2: Convert to fraction form
    734,217,683.88/1,101,559,494.84 = 216,650,649/x
  3. Step 3: Cross multiply
    734,217,683.88x = 1,101,559,494.84 × 216,650,649
  4. Step 4: Simplify right side
    734,217,683.88x = 238,653,579,469,198,144
  5. Step 5: Solve for x
    x = 238,653,579,469,198,144/734,217,683.88
  6. Step 6: Final answer
    x = 325,044,717.27

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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.