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Finding the Fourth Proportional to 160,768,176.80, 225,377,778.40 and 160,768,176.80

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Solution

The fourth proportional to 160,768,176.80, 225,377,778.40 and 160,768,176.80 is: 225,377,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,768,176.80 : 225,377,778.40 = 160,768,176.80 : x
  2. Step 2: Convert to fraction form
    160,768,176.80/225,377,778.40 = 160,768,176.80/x
  3. Step 3: Cross multiply
    160,768,176.80x = 225,377,778.40 × 160,768,176.80
  4. Step 4: Simplify right side
    160,768,176.80x = 36,233,574,524,602,424
  5. Step 5: Solve for x
    x = 36,233,574,524,602,424/160,768,176.80
  6. Step 6: Final answer
    x = 225,377,778.40

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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.