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Finding the Fourth Proportional to 5,342,259,743,999.40, 8,013,389,615,999.40 and 5,342,259,743,999.40

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Solution

The fourth proportional to 5,342,259,743,999.40, 8,013,389,615,999.40 and 5,342,259,743,999.40 is: 8,013,389,615,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,259,743,999.40 : 8,013,389,615,999.40 = 5,342,259,743,999.40 : x
  2. Step 2: Convert to fraction form
    5,342,259,743,999.40/8,013,389,615,999.40 = 5,342,259,743,999.40/x
  3. Step 3: Cross multiply
    5,342,259,743,999.40x = 8,013,389,615,999.40 × 5,342,259,743,999.40
  4. Step 4: Simplify right side
    5,342,259,743,999.40x = 42,809,608,758,536,413,986,684,928
  5. Step 5: Solve for x
    x = 42,809,608,758,536,413,986,684,928/5,342,259,743,999.40
  6. Step 6: Final answer
    x = 8,013,389,615,999.40

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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.