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Finding the Fourth Proportional to 4,871,323.20, 6,834,782.40 and 4,871,323.20

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Solution

The fourth proportional to 4,871,323.20, 6,834,782.40 and 4,871,323.20 is: 6,834,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,323.20 : 6,834,782.40 = 4,871,323.20 : x
  2. Step 2: Convert to fraction form
    4,871,323.20/6,834,782.40 = 4,871,323.20/x
  3. Step 3: Cross multiply
    4,871,323.20x = 6,834,782.40 × 4,871,323.20
  4. Step 4: Simplify right side
    4,871,323.20x = 33,294,434,072,071.68
  5. Step 5: Solve for x
    x = 33,294,434,072,071.68/4,871,323.20
  6. Step 6: Final answer
    x = 6,834,782.40

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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.