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Finding the Fourth Proportional to 201,257,994.60, 301,886,991.90 and 178,299,743.40

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Solution

The fourth proportional to 201,257,994.60, 301,886,991.90 and 178,299,743.40 is: 267,449,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257,994.60 : 301,886,991.90 = 178,299,743.40 : x
  2. Step 2: Convert to fraction form
    201,257,994.60/301,886,991.90 = 178,299,743.40/x
  3. Step 3: Cross multiply
    201,257,994.60x = 301,886,991.90 × 178,299,743.40
  4. Step 4: Simplify right side
    201,257,994.60x = 53,826,373,191,567,880
  5. Step 5: Solve for x
    x = 53,826,373,191,567,880/201,257,994.60
  6. Step 6: Final answer
    x = 267,449,615.10

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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.