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Finding the Fourth Proportional to 4,871,728.40, 6,831,617.20 and 4,871,728.40

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Solution

The fourth proportional to 4,871,728.40, 6,831,617.20 and 4,871,728.40 is: 6,831,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,728.40 : 6,831,617.20 = 4,871,728.40 : x
  2. Step 2: Convert to fraction form
    4,871,728.40/6,831,617.20 = 4,871,728.40/x
  3. Step 3: Cross multiply
    4,871,728.40x = 6,831,617.20 × 4,871,728.40
  4. Step 4: Simplify right side
    4,871,728.40x = 33,281,783,531,168.48
  5. Step 5: Solve for x
    x = 33,281,783,531,168.48/4,871,728.40
  6. Step 6: Final answer
    x = 6,831,617.20

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Why These Related Problems?

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