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Finding the Fourth Proportional to 419,905,615.20, 629,858,422.80 and 386,649,218.40

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Solution

The fourth proportional to 419,905,615.20, 629,858,422.80 and 386,649,218.40 is: 579,973,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,615.20 : 629,858,422.80 = 386,649,218.40 : x
  2. Step 2: Convert to fraction form
    419,905,615.20/629,858,422.80 = 386,649,218.40/x
  3. Step 3: Cross multiply
    419,905,615.20x = 629,858,422.80 × 386,649,218.40
  4. Step 4: Simplify right side
    419,905,615.20x = 243,534,266,878,276,704
  5. Step 5: Solve for x
    x = 243,534,266,878,276,704/419,905,615.20
  6. Step 6: Final answer
    x = 579,973,827.60

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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.