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Finding the Fourth Proportional to 6,331,567,104,042, 9,497,350,656,063 and 6,331,567,104,042

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Solution

The fourth proportional to 6,331,567,104,042, 9,497,350,656,063 and 6,331,567,104,042 is: 9,497,350,656,063

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331,567,104,042 : 9,497,350,656,063 = 6,331,567,104,042 : x
  2. Step 2: Convert to fraction form
    6,331,567,104,042/9,497,350,656,063 = 6,331,567,104,042/x
  3. Step 3: Cross multiply
    6,331,567,104,042x = 9,497,350,656,063 × 6,331,567,104,042
  4. Step 4: Simplify right side
    6,331,567,104,042x = 60,133,112,989,480,193,655,570,432
  5. Step 5: Solve for x
    x = 60,133,112,989,480,193,655,570,432/6,331,567,104,042
  6. Step 6: Final answer
    x = 9,497,350,656,063

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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.