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Finding the Fourth Proportional to 597,943,306,553.06, 835,553,345,892.34 and 597,943,306,553.06

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Solution

The fourth proportional to 597,943,306,553.06, 835,553,345,892.34 and 597,943,306,553.06 is: 835,553,345,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,943,306,553.06 : 835,553,345,892.34 = 597,943,306,553.06 : x
  2. Step 2: Convert to fraction form
    597,943,306,553.06/835,553,345,892.34 = 597,943,306,553.06/x
  3. Step 3: Cross multiply
    597,943,306,553.06x = 835,553,345,892.34 × 597,943,306,553.06
  4. Step 4: Simplify right side
    597,943,306,553.06x = 499,613,530,444,338,470,846,464
  5. Step 5: Solve for x
    x = 499,613,530,444,338,470,846,464/597,943,306,553.06
  6. Step 6: Final answer
    x = 835,553,345,892.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.