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Finding the Fourth Proportional to 21,661,948,901.70, 32,492,923,352.55 and 21,661,948,901.70

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Solution

The fourth proportional to 21,661,948,901.70, 32,492,923,352.55 and 21,661,948,901.70 is: 32,492,923,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661,948,901.70 : 32,492,923,352.55 = 21,661,948,901.70 : x
  2. Step 2: Convert to fraction form
    21,661,948,901.70/32,492,923,352.55 = 21,661,948,901.70/x
  3. Step 3: Cross multiply
    21,661,948,901.70x = 32,492,923,352.55 × 21,661,948,901.70
  4. Step 4: Simplify right side
    21,661,948,901.70x = 703,860,045,329,792,761,856
  5. Step 5: Solve for x
    x = 703,860,045,329,792,761,856/21,661,948,901.70
  6. Step 6: Final answer
    x = 32,492,923,352.55

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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.