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Finding the Fourth Proportional to 214,597,612.80, 321,896,419.20 and 78,287,443.20

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Solution

The fourth proportional to 214,597,612.80, 321,896,419.20 and 78,287,443.20 is: 117,431,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,597,612.80 : 321,896,419.20 = 78,287,443.20 : x
  2. Step 2: Convert to fraction form
    214,597,612.80/321,896,419.20 = 78,287,443.20/x
  3. Step 3: Cross multiply
    214,597,612.80x = 321,896,419.20 × 78,287,443.20
  4. Step 4: Simplify right side
    214,597,612.80x = 25,200,447,634,403,388
  5. Step 5: Solve for x
    x = 25,200,447,634,403,388/214,597,612.80
  6. Step 6: Final answer
    x = 117,431,164.80

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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.