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Finding the Fourth Proportional to 1,861,770,683,573, 2,792,656,025,359.50 and 1,861,770,683,573

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Solution

The fourth proportional to 1,861,770,683,573, 2,792,656,025,359.50 and 1,861,770,683,573 is: 2,792,656,025,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,770,683,573 : 2,792,656,025,359.50 = 1,861,770,683,573 : x
  2. Step 2: Convert to fraction form
    1,861,770,683,573/2,792,656,025,359.50 = 1,861,770,683,573/x
  3. Step 3: Cross multiply
    1,861,770,683,573x = 2,792,656,025,359.50 × 1,861,770,683,573
  4. Step 4: Simplify right side
    1,861,770,683,573x = 5,199,285,117,317,813,144,387,584
  5. Step 5: Solve for x
    x = 5,199,285,117,317,813,144,387,584/1,861,770,683,573
  6. Step 6: Final answer
    x = 2,792,656,025,359.50

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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.