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Finding the Fourth Proportional to 522,602,979,454.80, 783,904,469,182.20 and 522,602,979,454.80

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Solution

The fourth proportional to 522,602,979,454.80, 783,904,469,182.20 and 522,602,979,454.80 is: 783,904,469,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,602,979,454.80 : 783,904,469,182.20 = 522,602,979,454.80 : x
  2. Step 2: Convert to fraction form
    522,602,979,454.80/783,904,469,182.20 = 522,602,979,454.80/x
  3. Step 3: Cross multiply
    522,602,979,454.80x = 783,904,469,182.20 × 522,602,979,454.80
  4. Step 4: Simplify right side
    522,602,979,454.80x = 409,670,811,202,551,157,882,880
  5. Step 5: Solve for x
    x = 409,670,811,202,551,157,882,880/522,602,979,454.80
  6. Step 6: Final answer
    x = 783,904,469,182.20

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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.