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Finding the Fourth Proportional to 189,072,827.60, 283,609,241.40 and 161,863,048.40

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Solution

The fourth proportional to 189,072,827.60, 283,609,241.40 and 161,863,048.40 is: 242,794,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,072,827.60 : 283,609,241.40 = 161,863,048.40 : x
  2. Step 2: Convert to fraction form
    189,072,827.60/283,609,241.40 = 161,863,048.40/x
  3. Step 3: Cross multiply
    189,072,827.60x = 283,609,241.40 × 161,863,048.40
  4. Step 4: Simplify right side
    189,072,827.60x = 45,905,856,367,415,480
  5. Step 5: Solve for x
    x = 45,905,856,367,415,480/189,072,827.60
  6. Step 6: Final answer
    x = 242,794,572.60

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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.