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Finding the Fourth Proportional to 242,694,489.60, 364,041,734.40 and 140,405,875.20

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Solution

The fourth proportional to 242,694,489.60, 364,041,734.40 and 140,405,875.20 is: 210,608,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694,489.60 : 364,041,734.40 = 140,405,875.20 : x
  2. Step 2: Convert to fraction form
    242,694,489.60/364,041,734.40 = 140,405,875.20/x
  3. Step 3: Cross multiply
    242,694,489.60x = 364,041,734.40 × 140,405,875.20
  4. Step 4: Simplify right side
    242,694,489.60x = 51,113,598,327,757,936
  5. Step 5: Solve for x
    x = 51,113,598,327,757,936/242,694,489.60
  6. Step 6: Final answer
    x = 210,608,812.80

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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.