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Finding the Fourth Proportional to 589,984,009.60, 884,976,014.40 and 408,436,182.40

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Solution

The fourth proportional to 589,984,009.60, 884,976,014.40 and 408,436,182.40 is: 612,654,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,984,009.60 : 884,976,014.40 = 408,436,182.40 : x
  2. Step 2: Convert to fraction form
    589,984,009.60/884,976,014.40 = 408,436,182.40/x
  3. Step 3: Cross multiply
    589,984,009.60x = 884,976,014.40 × 408,436,182.40
  4. Step 4: Simplify right side
    589,984,009.60x = 361,456,224,837,103,424
  5. Step 5: Solve for x
    x = 361,456,224,837,103,424/589,984,009.60
  6. Step 6: Final answer
    x = 612,654,273.60

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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.