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Finding the Fourth Proportional to 442,897,241.40, 664,345,862.10 and 420,726,310.20

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Solution

The fourth proportional to 442,897,241.40, 664,345,862.10 and 420,726,310.20 is: 631,089,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897,241.40 : 664,345,862.10 = 420,726,310.20 : x
  2. Step 2: Convert to fraction form
    442,897,241.40/664,345,862.10 = 420,726,310.20/x
  3. Step 3: Cross multiply
    442,897,241.40x = 664,345,862.10 × 420,726,310.20
  4. Step 4: Simplify right side
    442,897,241.40x = 279,507,783,257,971,040
  5. Step 5: Solve for x
    x = 279,507,783,257,971,040/442,897,241.40
  6. Step 6: Final answer
    x = 631,089,465.30

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Why These Related Problems?

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