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Finding the Fourth Proportional to 189,451,029.60, 284,176,544.40 and 189,451,029.60

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Solution

The fourth proportional to 189,451,029.60, 284,176,544.40 and 189,451,029.60 is: 284,176,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,451,029.60 : 284,176,544.40 = 189,451,029.60 : x
  2. Step 2: Convert to fraction form
    189,451,029.60/284,176,544.40 = 189,451,029.60/x
  3. Step 3: Cross multiply
    189,451,029.60x = 284,176,544.40 × 189,451,029.60
  4. Step 4: Simplify right side
    189,451,029.60x = 53,837,538,924,750,112
  5. Step 5: Solve for x
    x = 53,837,538,924,750,112/189,451,029.60
  6. Step 6: Final answer
    x = 284,176,544.40

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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.