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Finding the Fourth Proportional to 4,098,004.30, 5,745,604.10 and 4,098,004.30

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Solution

The fourth proportional to 4,098,004.30, 5,745,604.10 and 4,098,004.30 is: 5,745,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,004.30 : 5,745,604.10 = 4,098,004.30 : x
  2. Step 2: Convert to fraction form
    4,098,004.30/5,745,604.10 = 4,098,004.30/x
  3. Step 3: Cross multiply
    4,098,004.30x = 5,745,604.10 × 4,098,004.30
  4. Step 4: Simplify right side
    4,098,004.30x = 23,545,510,307,897.63
  5. Step 5: Solve for x
    x = 23,545,510,307,897.63/4,098,004.30
  6. Step 6: Final answer
    x = 5,745,604.10

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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.