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Finding the Fourth Proportional to 6,643,203.45, 9,947,090.48 and 6,643,203.45

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Solution

The fourth proportional to 6,643,203.45, 9,947,090.48 and 6,643,203.45 is: 9,947,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,203.45 : 9,947,090.48 = 6,643,203.45 : x
  2. Step 2: Convert to fraction form
    6,643,203.45/9,947,090.48 = 6,643,203.45/x
  3. Step 3: Cross multiply
    6,643,203.45x = 9,947,090.48 × 6,643,203.45
  4. Step 4: Simplify right side
    6,643,203.45x = 66,080,545,760,982.14
  5. Step 5: Solve for x
    x = 66,080,545,760,982.14/6,643,203.45
  6. Step 6: Final answer
    x = 9,947,090.48

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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.