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Finding the Fourth Proportional to 21,683,376,806.20, 32,463,843,206.10 and 21,683,376,806.20

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Solution

The fourth proportional to 21,683,376,806.20, 32,463,843,206.10 and 21,683,376,806.20 is: 32,463,843,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683,376,806.20 : 32,463,843,206.10 = 21,683,376,806.20 : x
  2. Step 2: Convert to fraction form
    21,683,376,806.20/32,463,843,206.10 = 21,683,376,806.20/x
  3. Step 3: Cross multiply
    21,683,376,806.20x = 32,463,843,206.10 × 21,683,376,806.20
  4. Step 4: Simplify right side
    21,683,376,806.20x = 703,925,744,815,262,138,368
  5. Step 5: Solve for x
    x = 703,925,744,815,262,138,368/21,683,376,806.20
  6. Step 6: Final answer
    x = 32,463,843,206.10

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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.