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Finding the Fourth Proportional to 301,142,783.20, 451,704,843.60 and 85,732,031.20

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Solution

The fourth proportional to 301,142,783.20, 451,704,843.60 and 85,732,031.20 is: 128,595,390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,142,783.20 : 451,704,843.60 = 85,732,031.20 : x
  2. Step 2: Convert to fraction form
    301,142,783.20/451,704,843.60 = 85,732,031.20/x
  3. Step 3: Cross multiply
    301,142,783.20x = 451,704,843.60 × 85,732,031.20
  4. Step 4: Simplify right side
    301,142,783.20x = 38,725,573,744,706,320
  5. Step 5: Solve for x
    x = 38,725,573,744,706,320/301,142,783.20
  6. Step 6: Final answer
    x = 128,595,390.31

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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.