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Finding the Fourth Proportional to 225,232,382.70, 315,778,832.10 and 225,232,382.70

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Solution

The fourth proportional to 225,232,382.70, 315,778,832.10 and 225,232,382.70 is: 315,778,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,232,382.70 : 315,778,832.10 = 225,232,382.70 : x
  2. Step 2: Convert to fraction form
    225,232,382.70/315,778,832.10 = 225,232,382.70/x
  3. Step 3: Cross multiply
    225,232,382.70x = 315,778,832.10 × 225,232,382.70
  4. Step 4: Simplify right side
    225,232,382.70x = 71,123,618,760,106,248
  5. Step 5: Solve for x
    x = 71,123,618,760,106,248/225,232,382.70
  6. Step 6: Final answer
    x = 315,778,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.