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Finding the Fourth Proportional to 201,014,793.60, 301,522,190.40 and 160,704,009.60

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Solution

The fourth proportional to 201,014,793.60, 301,522,190.40 and 160,704,009.60 is: 241,056,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014,793.60 : 301,522,190.40 = 160,704,009.60 : x
  2. Step 2: Convert to fraction form
    201,014,793.60/301,522,190.40 = 160,704,009.60/x
  3. Step 3: Cross multiply
    201,014,793.60x = 301,522,190.40 × 160,704,009.60
  4. Step 4: Simplify right side
    201,014,793.60x = 48,455,824,980,654,624
  5. Step 5: Solve for x
    x = 48,455,824,980,654,624/201,014,793.60
  6. Step 6: Final answer
    x = 241,056,014.40

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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.