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Finding the Fourth Proportional to 182,443,211,999.70, 273,664,817,999.56 and 182,443,211,999.70

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Solution

The fourth proportional to 182,443,211,999.70, 273,664,817,999.56 and 182,443,211,999.70 is: 273,664,817,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,443,211,999.70 : 273,664,817,999.56 = 182,443,211,999.70 : x
  2. Step 2: Convert to fraction form
    182,443,211,999.70/273,664,817,999.56 = 182,443,211,999.70/x
  3. Step 3: Cross multiply
    182,443,211,999.70x = 273,664,817,999.56 × 182,443,211,999.70
  4. Step 4: Simplify right side
    182,443,211,999.70x = 49,928,288,407,153,044,094,976
  5. Step 5: Solve for x
    x = 49,928,288,407,153,044,094,976/182,443,211,999.70
  6. Step 6: Final answer
    x = 273,664,817,999.56

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1.5x scale

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.