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Finding the Fourth Proportional to 201,014,659.70, 280,846,567.30 and 201,014,659.70

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Solution

The fourth proportional to 201,014,659.70, 280,846,567.30 and 201,014,659.70 is: 280,846,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014,659.70 : 280,846,567.30 = 201,014,659.70 : x
  2. Step 2: Convert to fraction form
    201,014,659.70/280,846,567.30 = 201,014,659.70/x
  3. Step 3: Cross multiply
    201,014,659.70x = 280,846,567.30 × 201,014,659.70
  4. Step 4: Simplify right side
    201,014,659.70x = 56,454,277,153,722,648
  5. Step 5: Solve for x
    x = 56,454,277,153,722,648/201,014,659.70
  6. Step 6: Final answer
    x = 280,846,567.30

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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.