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Finding the Fourth Proportional to 1,861,724,339,419, 2,792,586,509,128.50 and 1,861,724,339,419

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Solution

The fourth proportional to 1,861,724,339,419, 2,792,586,509,128.50 and 1,861,724,339,419 is: 2,792,586,509,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,724,339,419 : 2,792,586,509,128.50 = 1,861,724,339,419 : x
  2. Step 2: Convert to fraction form
    1,861,724,339,419/2,792,586,509,128.50 = 1,861,724,339,419/x
  3. Step 3: Cross multiply
    1,861,724,339,419x = 2,792,586,509,128.50 × 1,861,724,339,419
  4. Step 4: Simplify right side
    1,861,724,339,419x = 5,199,026,273,977,668,049,305,600
  5. Step 5: Solve for x
    x = 5,199,026,273,977,668,049,305,600/1,861,724,339,419
  6. Step 6: Final answer
    x = 2,792,586,509,128.50

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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.