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Finding the Fourth Proportional to 1,492,993,480.80, 2,092,340,781.60 and 1,492,993,480.80

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Solution

The fourth proportional to 1,492,993,480.80, 2,092,340,781.60 and 1,492,993,480.80 is: 2,092,340,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,993,480.80 : 2,092,340,781.60 = 1,492,993,480.80 : x
  2. Step 2: Convert to fraction form
    1,492,993,480.80/2,092,340,781.60 = 1,492,993,480.80/x
  3. Step 3: Cross multiply
    1,492,993,480.80x = 2,092,340,781.60 × 1,492,993,480.80
  4. Step 4: Simplify right side
    1,492,993,480.80x = 3,123,851,146,540,776,448
  5. Step 5: Solve for x
    x = 3,123,851,146,540,776,448/1,492,993,480.80
  6. Step 6: Final answer
    x = 2,092,340,781.60

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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.