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Finding the Fourth Proportional to 15,202,946,416.80, 21,313,148,748 and 15,202,946,416.80

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Solution

The fourth proportional to 15,202,946,416.80, 21,313,148,748 and 15,202,946,416.80 is: 21,313,148,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202,946,416.80 : 21,313,148,748 = 15,202,946,416.80 : x
  2. Step 2: Convert to fraction form
    15,202,946,416.80/21,313,148,748 = 15,202,946,416.80/x
  3. Step 3: Cross multiply
    15,202,946,416.80x = 21,313,148,748 × 15,202,946,416.80
  4. Step 4: Simplify right side
    15,202,946,416.80x = 324,022,658,389,131,984,896
  5. Step 5: Solve for x
    x = 324,022,658,389,131,984,896/15,202,946,416.80
  6. Step 6: Final answer
    x = 21,313,148,748

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.