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Finding the Fourth Proportional to 6,174,863.70, 8,657,406.30 and 6,174,863.70

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Solution

The fourth proportional to 6,174,863.70, 8,657,406.30 and 6,174,863.70 is: 8,657,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174,863.70 : 8,657,406.30 = 6,174,863.70 : x
  2. Step 2: Convert to fraction form
    6,174,863.70/8,657,406.30 = 6,174,863.70/x
  3. Step 3: Cross multiply
    6,174,863.70x = 8,657,406.30 × 6,174,863.70
  4. Step 4: Simplify right side
    6,174,863.70x = 53,458,303,898,021.31
  5. Step 5: Solve for x
    x = 53,458,303,898,021.31/6,174,863.70
  6. Step 6: Final answer
    x = 8,657,406.30

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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.