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Finding the Fourth Proportional to 201,014,658.45, 280,846,565.55 and 201,014,658.45

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Solution

The fourth proportional to 201,014,658.45, 280,846,565.55 and 201,014,658.45 is: 280,846,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014,658.45 : 280,846,565.55 = 201,014,658.45 : x
  2. Step 2: Convert to fraction form
    201,014,658.45/280,846,565.55 = 201,014,658.45/x
  3. Step 3: Cross multiply
    201,014,658.45x = 280,846,565.55 × 201,014,658.45
  4. Step 4: Simplify right side
    201,014,658.45x = 56,454,276,450,888,784
  5. Step 5: Solve for x
    x = 56,454,276,450,888,784/201,014,658.45
  6. Step 6: Final answer
    x = 280,846,565.55

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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.