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Finding the Fourth Proportional to 45,967,896,005.10, 68,951,844,007.65 and 45,967,896,005.10

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Solution

The fourth proportional to 45,967,896,005.10, 68,951,844,007.65 and 45,967,896,005.10 is: 68,951,844,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,967,896,005.10 : 68,951,844,007.65 = 45,967,896,005.10 : x
  2. Step 2: Convert to fraction form
    45,967,896,005.10/68,951,844,007.65 = 45,967,896,005.10/x
  3. Step 3: Cross multiply
    45,967,896,005.10x = 68,951,844,007.65 × 45,967,896,005.10
  4. Step 4: Simplify right side
    45,967,896,005.10x = 3,169,571,194,703,532,523,520
  5. Step 5: Solve for x
    x = 3,169,571,194,703,532,523,520/45,967,896,005.10
  6. Step 6: Final answer
    x = 68,951,844,007.65

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Double scale
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1.5x scale

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.