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Finding the Fourth Proportional to 61,177,475,974.20, 91,602,955,286.10 and 61,177,475,974.20

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Solution

The fourth proportional to 61,177,475,974.20, 91,602,955,286.10 and 61,177,475,974.20 is: 91,602,955,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,177,475,974.20 : 91,602,955,286.10 = 61,177,475,974.20 : x
  2. Step 2: Convert to fraction form
    61,177,475,974.20/91,602,955,286.10 = 61,177,475,974.20/x
  3. Step 3: Cross multiply
    61,177,475,974.20x = 91,602,955,286.10 × 61,177,475,974.20
  4. Step 4: Simplify right side
    61,177,475,974.20x = 5,604,037,596,181,099,970,560
  5. Step 5: Solve for x
    x = 5,604,037,596,181,099,970,560/61,177,475,974.20
  6. Step 6: Final answer
    x = 91,602,955,286.10

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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.