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Finding the Fourth Proportional to 501,253,137,068.52, 751,879,705,602.78 and 501,253,137,068.52

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Solution

The fourth proportional to 501,253,137,068.52, 751,879,705,602.78 and 501,253,137,068.52 is: 751,879,705,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,253,137,068.52 : 751,879,705,602.78 = 501,253,137,068.52 : x
  2. Step 2: Convert to fraction form
    501,253,137,068.52/751,879,705,602.78 = 501,253,137,068.52/x
  3. Step 3: Cross multiply
    501,253,137,068.52x = 751,879,705,602.78 × 501,253,137,068.52
  4. Step 4: Simplify right side
    501,253,137,068.52x = 376,882,061,131,548,794,552,320
  5. Step 5: Solve for x
    x = 376,882,061,131,548,794,552,320/501,253,137,068.52
  6. Step 6: Final answer
    x = 751,879,705,602.78

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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.