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Finding the Fourth Proportional to 545,689,497.60, 818,541,244.80 and 182,183,853.60

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Solution

The fourth proportional to 545,689,497.60, 818,541,244.80 and 182,183,853.60 is: 273,278,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,689,497.60 : 818,541,244.80 = 182,183,853.60 : x
  2. Step 2: Convert to fraction form
    545,689,497.60/818,541,244.80 = 182,183,853.60/x
  3. Step 3: Cross multiply
    545,689,497.60x = 818,541,244.80 × 182,183,853.60
  4. Step 4: Simplify right side
    545,689,497.60x = 149,124,998,308,204,960
  5. Step 5: Solve for x
    x = 149,124,998,308,204,960/545,689,497.60
  6. Step 6: Final answer
    x = 273,278,116.89

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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.