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Finding the Fourth Proportional to 182,034,193,251.60, 273,051,289,877.40 and 182,034,193,251.60

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Solution

The fourth proportional to 182,034,193,251.60, 273,051,289,877.40 and 182,034,193,251.60 is: 273,051,289,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,034,193,251.60 : 273,051,289,877.40 = 182,034,193,251.60 : x
  2. Step 2: Convert to fraction form
    182,034,193,251.60/273,051,289,877.40 = 182,034,193,251.60/x
  3. Step 3: Cross multiply
    182,034,193,251.60x = 273,051,289,877.40 × 182,034,193,251.60
  4. Step 4: Simplify right side
    182,034,193,251.60x = 49,704,671,269,141,283,340,288
  5. Step 5: Solve for x
    x = 49,704,671,269,141,283,340,288/182,034,193,251.60
  6. Step 6: Final answer
    x = 273,051,289,877.40

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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.