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Finding the Fourth Proportional to 187,067,232,005.22, 280,600,848,007.83 and 187,067,232,005.22

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Solution

The fourth proportional to 187,067,232,005.22, 280,600,848,007.83 and 187,067,232,005.22 is: 280,600,848,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,067,232,005.22 : 280,600,848,007.83 = 187,067,232,005.22 : x
  2. Step 2: Convert to fraction form
    187,067,232,005.22/280,600,848,007.83 = 187,067,232,005.22/x
  3. Step 3: Cross multiply
    187,067,232,005.22x = 280,600,848,007.83 × 187,067,232,005.22
  4. Step 4: Simplify right side
    187,067,232,005.22x = 52,491,223,935,142,210,830,336
  5. Step 5: Solve for x
    x = 52,491,223,935,142,210,830,336/187,067,232,005.22
  6. Step 6: Final answer
    x = 280,600,848,007.83

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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.