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Finding the Fourth Proportional to 442,897,254.90, 664,345,882.35 and 420,726,323.70

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Solution

The fourth proportional to 442,897,254.90, 664,345,882.35 and 420,726,323.70 is: 631,089,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897,254.90 : 664,345,882.35 = 420,726,323.70 : x
  2. Step 2: Convert to fraction form
    442,897,254.90/664,345,882.35 = 420,726,323.70/x
  3. Step 3: Cross multiply
    442,897,254.90x = 664,345,882.35 × 420,726,323.70
  4. Step 4: Simplify right side
    442,897,254.90x = 279,507,800,746,348,224
  5. Step 5: Solve for x
    x = 279,507,800,746,348,224/442,897,254.90
  6. Step 6: Final answer
    x = 631,089,485.55

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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.