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Finding the Fourth Proportional to 219,189,905,963.70, 328,784,858,945.55 and 219,189,905,963.70

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Solution

The fourth proportional to 219,189,905,963.70, 328,784,858,945.55 and 219,189,905,963.70 is: 328,784,858,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,189,905,963.70 : 328,784,858,945.55 = 219,189,905,963.70 : x
  2. Step 2: Convert to fraction form
    219,189,905,963.70/328,784,858,945.55 = 219,189,905,963.70/x
  3. Step 3: Cross multiply
    219,189,905,963.70x = 328,784,858,945.55 × 219,189,905,963.70
  4. Step 4: Simplify right side
    219,189,905,963.70x = 72,066,322,314,563,472,588,800
  5. Step 5: Solve for x
    x = 72,066,322,314,563,472,588,800/219,189,905,963.70
  6. Step 6: Final answer
    x = 328,784,858,945.55

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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.