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Finding the Fourth Proportional to 45,914,314.40, 68,871,471.60 and 45,914,314.40

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Solution

The fourth proportional to 45,914,314.40, 68,871,471.60 and 45,914,314.40 is: 68,871,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,914,314.40 : 68,871,471.60 = 45,914,314.40 : x
  2. Step 2: Convert to fraction form
    45,914,314.40/68,871,471.60 = 45,914,314.40/x
  3. Step 3: Cross multiply
    45,914,314.40x = 68,871,471.60 × 45,914,314.40
  4. Step 4: Simplify right side
    45,914,314.40x = 3,162,186,400,233,070.50
  5. Step 5: Solve for x
    x = 3,162,186,400,233,070.50/45,914,314.40
  6. Step 6: Final answer
    x = 68,871,471.60

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Why These Related Problems?

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