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Finding the Fourth Proportional to 412,614,516.60, 618,921,774.90 and 412,614,516.60

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Solution

The fourth proportional to 412,614,516.60, 618,921,774.90 and 412,614,516.60 is: 618,921,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614,516.60 : 618,921,774.90 = 412,614,516.60 : x
  2. Step 2: Convert to fraction form
    412,614,516.60/618,921,774.90 = 412,614,516.60/x
  3. Step 3: Cross multiply
    412,614,516.60x = 618,921,774.90 × 412,614,516.60
  4. Step 4: Simplify right side
    412,614,516.60x = 255,376,108,963,577,504
  5. Step 5: Solve for x
    x = 255,376,108,963,577,504/412,614,516.60
  6. Step 6: Final answer
    x = 618,921,774.90

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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.