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Finding the Fourth Proportional to 521,522,871,146.70, 782,284,306,720.06 and 521,522,871,146.70

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Solution

The fourth proportional to 521,522,871,146.70, 782,284,306,720.06 and 521,522,871,146.70 is: 782,284,306,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,522,871,146.70 : 782,284,306,720.06 = 521,522,871,146.70 : x
  2. Step 2: Convert to fraction form
    521,522,871,146.70/782,284,306,720.06 = 521,522,871,146.70/x
  3. Step 3: Cross multiply
    521,522,871,146.70x = 782,284,306,720.06 × 521,522,871,146.70
  4. Step 4: Simplify right side
    521,522,871,146.70x = 407,979,157,693,651,419,660,288
  5. Step 5: Solve for x
    x = 407,979,157,693,651,419,660,288/521,522,871,146.70
  6. Step 6: Final answer
    x = 782,284,306,720.06

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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.