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Finding the Fourth Proportional to 6,644,181,825.70, 9,966,272,738.55 and 6,644,181,825.70

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Solution

The fourth proportional to 6,644,181,825.70, 9,966,272,738.55 and 6,644,181,825.70 is: 9,966,272,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,181,825.70 : 9,966,272,738.55 = 6,644,181,825.70 : x
  2. Step 2: Convert to fraction form
    6,644,181,825.70/9,966,272,738.55 = 6,644,181,825.70/x
  3. Step 3: Cross multiply
    6,644,181,825.70x = 9,966,272,738.55 × 6,644,181,825.70
  4. Step 4: Simplify right side
    6,644,181,825.70x = 66,217,728,199,443,267,584
  5. Step 5: Solve for x
    x = 66,217,728,199,443,267,584/6,644,181,825.70
  6. Step 6: Final answer
    x = 9,966,272,738.55

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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.