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Finding the Fourth Proportional to 125,882,320,120.20, 188,823,480,180.30 and 125,882,320,120.20

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Solution

The fourth proportional to 125,882,320,120.20, 188,823,480,180.30 and 125,882,320,120.20 is: 188,823,480,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,882,320,120.20 : 188,823,480,180.30 = 125,882,320,120.20 : x
  2. Step 2: Convert to fraction form
    125,882,320,120.20/188,823,480,180.30 = 125,882,320,120.20/x
  3. Step 3: Cross multiply
    125,882,320,120.20x = 188,823,480,180.30 × 125,882,320,120.20
  4. Step 4: Simplify right side
    125,882,320,120.20x = 23,769,537,778,266,761,330,688
  5. Step 5: Solve for x
    x = 23,769,537,778,266,761,330,688/125,882,320,120.20
  6. Step 6: Final answer
    x = 188,823,480,180.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.