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Finding the Fourth Proportional to 6,551,294.65, 9,826,941.98 and 6,551,294.65

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Solution

The fourth proportional to 6,551,294.65, 9,826,941.98 and 6,551,294.65 is: 9,826,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,294.65 : 9,826,941.98 = 6,551,294.65 : x
  2. Step 2: Convert to fraction form
    6,551,294.65/9,826,941.98 = 6,551,294.65/x
  3. Step 3: Cross multiply
    6,551,294.65x = 9,826,941.98 × 6,551,294.65
  4. Step 4: Simplify right side
    6,551,294.65x = 64,379,192,419,434.41
  5. Step 5: Solve for x
    x = 64,379,192,419,434.41/6,551,294.65
  6. Step 6: Final answer
    x = 9,826,941.98

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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.