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Finding the Fourth Proportional to 201,014,642.20, 280,846,542.80 and 201,014,642.20

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Solution

The fourth proportional to 201,014,642.20, 280,846,542.80 and 201,014,642.20 is: 280,846,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014,642.20 : 280,846,542.80 = 201,014,642.20 : x
  2. Step 2: Convert to fraction form
    201,014,642.20/280,846,542.80 = 201,014,642.20/x
  3. Step 3: Cross multiply
    201,014,642.20x = 280,846,542.80 × 201,014,642.20
  4. Step 4: Simplify right side
    201,014,642.20x = 56,454,267,314,048,984
  5. Step 5: Solve for x
    x = 56,454,267,314,048,984/201,014,642.20
  6. Step 6: Final answer
    x = 280,846,542.80

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