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Finding the Fourth Proportional to 7,776,019.80, 11,664,029.70 and 2,384,627.40

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Solution

The fourth proportional to 7,776,019.80, 11,664,029.70 and 2,384,627.40 is: 3,576,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,019.80 : 11,664,029.70 = 2,384,627.40 : x
  2. Step 2: Convert to fraction form
    7,776,019.80/11,664,029.70 = 2,384,627.40/x
  3. Step 3: Cross multiply
    7,776,019.80x = 11,664,029.70 × 2,384,627.40
  4. Step 4: Simplify right side
    7,776,019.80x = 27,814,364,817,033.78
  5. Step 5: Solve for x
    x = 27,814,364,817,033.78/7,776,019.80
  6. Step 6: Final answer
    x = 3,576,941.10

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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.