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Finding the Fourth Proportional to 5,342,259,744,062.70, 8,013,389,616,093.40 and 5,342,259,744,062.70

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Solution

The fourth proportional to 5,342,259,744,062.70, 8,013,389,616,093.40 and 5,342,259,744,062.70 is: 8,013,389,616,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,259,744,062.70 : 8,013,389,616,093.40 = 5,342,259,744,062.70 : x
  2. Step 2: Convert to fraction form
    5,342,259,744,062.70/8,013,389,616,093.40 = 5,342,259,744,062.70/x
  3. Step 3: Cross multiply
    5,342,259,744,062.70x = 8,013,389,616,093.40 × 5,342,259,744,062.70
  4. Step 4: Simplify right side
    5,342,259,744,062.70x = 42,809,608,759,545,825,790,525,440
  5. Step 5: Solve for x
    x = 42,809,608,759,545,825,790,525,440/5,342,259,744,062.70
  6. Step 6: Final answer
    x = 8,013,389,616,093.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.