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Finding the Fourth Proportional to 20,472,783,274.46, 30,709,174,911.71 and 20,472,783,274.46

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Solution

The fourth proportional to 20,472,783,274.46, 30,709,174,911.71 and 20,472,783,274.46 is: 30,709,174,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472,783,274.46 : 30,709,174,911.71 = 20,472,783,274.46 : x
  2. Step 2: Convert to fraction form
    20,472,783,274.46/30,709,174,911.71 = 20,472,783,274.46/x
  3. Step 3: Cross multiply
    20,472,783,274.46x = 30,709,174,911.71 × 20,472,783,274.46
  4. Step 4: Simplify right side
    20,472,783,274.46x = 628,702,282,504,913,027,072
  5. Step 5: Solve for x
    x = 628,702,282,504,913,027,072/20,472,783,274.46
  6. Step 6: Final answer
    x = 30,709,174,911.71

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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.