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Finding the Fourth Proportional to 201,024,096.45, 280,859,778.75 and 201,024,096.45

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Solution

The fourth proportional to 201,024,096.45, 280,859,778.75 and 201,024,096.45 is: 280,859,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,024,096.45 : 280,859,778.75 = 201,024,096.45 : x
  2. Step 2: Convert to fraction form
    201,024,096.45/280,859,778.75 = 201,024,096.45/x
  3. Step 3: Cross multiply
    201,024,096.45x = 280,859,778.75 × 201,024,096.45
  4. Step 4: Simplify right side
    201,024,096.45x = 56,459,583,252,365,656
  5. Step 5: Solve for x
    x = 56,459,583,252,365,656/201,024,096.45
  6. Step 6: Final answer
    x = 280,859,778.75

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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.