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Finding the Fourth Proportional to 68,046,865,200.90, 101,874,166,178.79 and 68,046,865,200.90

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Solution

The fourth proportional to 68,046,865,200.90, 101,874,166,178.79 and 68,046,865,200.90 is: 101,874,166,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046,865,200.90 : 101,874,166,178.79 = 68,046,865,200.90 : x
  2. Step 2: Convert to fraction form
    68,046,865,200.90/101,874,166,178.79 = 68,046,865,200.90/x
  3. Step 3: Cross multiply
    68,046,865,200.90x = 101,874,166,178.79 × 68,046,865,200.90
  4. Step 4: Simplify right side
    68,046,865,200.90x = 6,932,217,653,422,208,319,488
  5. Step 5: Solve for x
    x = 6,932,217,653,422,208,319,488/68,046,865,200.90
  6. Step 6: Final answer
    x = 101,874,166,178.79

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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.