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Finding the Fourth Proportional to 16,175,651,028.80, 22,711,214,910.40 and 16,175,651,028.80

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Solution

The fourth proportional to 16,175,651,028.80, 22,711,214,910.40 and 16,175,651,028.80 is: 22,711,214,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175,651,028.80 : 22,711,214,910.40 = 16,175,651,028.80 : x
  2. Step 2: Convert to fraction form
    16,175,651,028.80/22,711,214,910.40 = 16,175,651,028.80/x
  3. Step 3: Cross multiply
    16,175,651,028.80x = 22,711,214,910.40 × 16,175,651,028.80
  4. Step 4: Simplify right side
    16,175,651,028.80x = 367,368,686,830,709,637,120
  5. Step 5: Solve for x
    x = 367,368,686,830,709,637,120/16,175,651,028.80
  6. Step 6: Final answer
    x = 22,711,214,910.40

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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.