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Finding the Fourth Proportional to 128,892,303,005.76, 193,338,454,508.64 and 128,892,303,005.76

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Solution

The fourth proportional to 128,892,303,005.76, 193,338,454,508.64 and 128,892,303,005.76 is: 193,338,454,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,892,303,005.76 : 193,338,454,508.64 = 128,892,303,005.76 : x
  2. Step 2: Convert to fraction form
    128,892,303,005.76/193,338,454,508.64 = 128,892,303,005.76/x
  3. Step 3: Cross multiply
    128,892,303,005.76x = 193,338,454,508.64 × 128,892,303,005.76
  4. Step 4: Simplify right side
    128,892,303,005.76x = 24,919,838,661,192,972,238,848
  5. Step 5: Solve for x
    x = 24,919,838,661,192,972,238,848/128,892,303,005.76
  6. Step 6: Final answer
    x = 193,338,454,508.64

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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.