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Finding the Fourth Proportional to 6,578,676.96, 9,868,943.10 and 2,030,096.04

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Solution

The fourth proportional to 6,578,676.96, 9,868,943.10 and 2,030,096.04 is: 3,045,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,676.96 : 9,868,943.10 = 2,030,096.04 : x
  2. Step 2: Convert to fraction form
    6,578,676.96/9,868,943.10 = 2,030,096.04/x
  3. Step 3: Cross multiply
    6,578,676.96x = 9,868,943.10 × 2,030,096.04
  4. Step 4: Simplify right side
    6,578,676.96x = 20,034,902,306,295.32
  5. Step 5: Solve for x
    x = 20,034,902,306,295.32/6,578,676.96
  6. Step 6: Final answer
    x = 3,045,430.32

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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.