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Finding the Fourth Proportional to 6,331,567,104,046, 9,497,350,656,069 and 6,331,567,104,046

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Solution

The fourth proportional to 6,331,567,104,046, 9,497,350,656,069 and 6,331,567,104,046 is: 9,497,350,656,069

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331,567,104,046 : 9,497,350,656,069 = 6,331,567,104,046 : x
  2. Step 2: Convert to fraction form
    6,331,567,104,046/9,497,350,656,069 = 6,331,567,104,046/x
  3. Step 3: Cross multiply
    6,331,567,104,046x = 9,497,350,656,069 × 6,331,567,104,046
  4. Step 4: Simplify right side
    6,331,567,104,046x = 60,133,112,989,556,180,216,971,264
  5. Step 5: Solve for x
    x = 60,133,112,989,556,180,216,971,264/6,331,567,104,046
  6. Step 6: Final answer
    x = 9,497,350,656,069

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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.