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Finding the Fourth Proportional to 597,943,306,544.30, 835,553,345,880.10 and 597,943,306,544.30

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Solution

The fourth proportional to 597,943,306,544.30, 835,553,345,880.10 and 597,943,306,544.30 is: 835,553,345,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,943,306,544.30 : 835,553,345,880.10 = 597,943,306,544.30 : x
  2. Step 2: Convert to fraction form
    597,943,306,544.30/835,553,345,880.10 = 597,943,306,544.30/x
  3. Step 3: Cross multiply
    597,943,306,544.30x = 835,553,345,880.10 × 597,943,306,544.30
  4. Step 4: Simplify right side
    597,943,306,544.30x = 499,613,530,429,700,215,668,736
  5. Step 5: Solve for x
    x = 499,613,530,429,700,215,668,736/597,943,306,544.30
  6. Step 6: Final answer
    x = 835,553,345,880.10

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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.