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Finding the Fourth Proportional to 21,814,921,661.80, 32,722,382,492.70 and 21,814,921,661.80

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Solution

The fourth proportional to 21,814,921,661.80, 32,722,382,492.70 and 21,814,921,661.80 is: 32,722,382,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814,921,661.80 : 32,722,382,492.70 = 21,814,921,661.80 : x
  2. Step 2: Convert to fraction form
    21,814,921,661.80/32,722,382,492.70 = 21,814,921,661.80/x
  3. Step 3: Cross multiply
    21,814,921,661.80x = 32,722,382,492.70 × 21,814,921,661.80
  4. Step 4: Simplify right side
    21,814,921,661.80x = 713,836,210,665,706,356,736
  5. Step 5: Solve for x
    x = 713,836,210,665,706,356,736/21,814,921,661.80
  6. Step 6: Final answer
    x = 32,722,382,492.70

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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.