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Finding the Fourth Proportional to 3,016,102.10, 4,213,095.10 and 3,016,102.10

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Solution

The fourth proportional to 3,016,102.10, 4,213,095.10 and 3,016,102.10 is: 4,213,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016,102.10 : 4,213,095.10 = 3,016,102.10 : x
  2. Step 2: Convert to fraction form
    3,016,102.10/4,213,095.10 = 3,016,102.10/x
  3. Step 3: Cross multiply
    3,016,102.10x = 4,213,095.10 × 3,016,102.10
  4. Step 4: Simplify right side
    3,016,102.10x = 12,707,124,978,609.71
  5. Step 5: Solve for x
    x = 12,707,124,978,609.71/3,016,102.10
  6. Step 6: Final answer
    x = 4,213,095.10

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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.