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Finding the Fourth Proportional to 5,342,259,744,022.50, 8,013,389,616,033.50 and 5,342,259,744,022.50

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Solution

The fourth proportional to 5,342,259,744,022.50, 8,013,389,616,033.50 and 5,342,259,744,022.50 is: 8,013,389,616,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,259,744,022.50 : 8,013,389,616,033.50 = 5,342,259,744,022.50 : x
  2. Step 2: Convert to fraction form
    5,342,259,744,022.50/8,013,389,616,033.50 = 5,342,259,744,022.50/x
  3. Step 3: Cross multiply
    5,342,259,744,022.50x = 8,013,389,616,033.50 × 5,342,259,744,022.50
  4. Step 4: Simplify right side
    5,342,259,744,022.50x = 42,809,608,758,903,685,230,100,480
  5. Step 5: Solve for x
    x = 42,809,608,758,903,685,230,100,480/5,342,259,744,022.50
  6. Step 6: Final answer
    x = 8,013,389,616,033.50

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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.