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Finding the Fourth Proportional to 160,556,645.70, 225,232,800.30 and 160,556,645.70

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Solution

The fourth proportional to 160,556,645.70, 225,232,800.30 and 160,556,645.70 is: 225,232,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,556,645.70 : 225,232,800.30 = 160,556,645.70 : x
  2. Step 2: Convert to fraction form
    160,556,645.70/225,232,800.30 = 160,556,645.70/x
  3. Step 3: Cross multiply
    160,556,645.70x = 225,232,800.30 × 160,556,645.70
  4. Step 4: Simplify right side
    160,556,645.70x = 36,162,622,917,785,952
  5. Step 5: Solve for x
    x = 36,162,622,917,785,952/160,556,645.70
  6. Step 6: Final answer
    x = 225,232,800.30

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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.