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Finding the Fourth Proportional to 225,917,784,923.10, 338,876,677,384.65 and 225,917,784,923.10

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Solution

The fourth proportional to 225,917,784,923.10, 338,876,677,384.65 and 225,917,784,923.10 is: 338,876,677,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,917,784,923.10 : 338,876,677,384.65 = 225,917,784,923.10 : x
  2. Step 2: Convert to fraction form
    225,917,784,923.10/338,876,677,384.65 = 225,917,784,923.10/x
  3. Step 3: Cross multiply
    225,917,784,923.10x = 338,876,677,384.65 × 225,917,784,923.10
  4. Step 4: Simplify right side
    225,917,784,923.10x = 76,558,268,316,840,118,714,368
  5. Step 5: Solve for x
    x = 76,558,268,316,840,118,714,368/225,917,784,923.10
  6. Step 6: Final answer
    x = 338,876,677,384.65

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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.