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Finding the Fourth Proportional to 597,943,306,553.08, 835,553,345,892.32 and 597,943,306,553.08

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Solution

The fourth proportional to 597,943,306,553.08, 835,553,345,892.32 and 597,943,306,553.08 is: 835,553,345,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,943,306,553.08 : 835,553,345,892.32 = 597,943,306,553.08 : x
  2. Step 2: Convert to fraction form
    597,943,306,553.08/835,553,345,892.32 = 597,943,306,553.08/x
  3. Step 3: Cross multiply
    597,943,306,553.08x = 835,553,345,892.32 × 597,943,306,553.08
  4. Step 4: Simplify right side
    597,943,306,553.08x = 499,613,530,444,343,101,358,080
  5. Step 5: Solve for x
    x = 499,613,530,444,343,101,358,080/597,943,306,553.08
  6. Step 6: Final answer
    x = 835,553,345,892.32

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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.