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Finding the Fourth Proportional to 201,006,197.70, 300,871,567.35 and 201,006,197.70

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Solution

The fourth proportional to 201,006,197.70, 300,871,567.35 and 201,006,197.70 is: 300,871,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,006,197.70 : 300,871,567.35 = 201,006,197.70 : x
  2. Step 2: Convert to fraction form
    201,006,197.70/300,871,567.35 = 201,006,197.70/x
  3. Step 3: Cross multiply
    201,006,197.70x = 300,871,567.35 × 201,006,197.70
  4. Step 4: Simplify right side
    201,006,197.70x = 60,477,049,749,062,968
  5. Step 5: Solve for x
    x = 60,477,049,749,062,968/201,006,197.70
  6. Step 6: Final answer
    x = 300,871,567.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.