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Finding the Fourth Proportional to 21,984,448,098.30, 32,976,672,147.45 and 21,984,448,098.30

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Solution

The fourth proportional to 21,984,448,098.30, 32,976,672,147.45 and 21,984,448,098.30 is: 32,976,672,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984,448,098.30 : 32,976,672,147.45 = 21,984,448,098.30 : x
  2. Step 2: Convert to fraction form
    21,984,448,098.30/32,976,672,147.45 = 21,984,448,098.30/x
  3. Step 3: Cross multiply
    21,984,448,098.30x = 32,976,672,147.45 × 21,984,448,098.30
  4. Step 4: Simplify right side
    21,984,448,098.30x = 724,973,937,280,269,680,640
  5. Step 5: Solve for x
    x = 724,973,937,280,269,680,640/21,984,448,098.30
  6. Step 6: Final answer
    x = 32,976,672,147.45

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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.