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Finding the Fourth Proportional to 597,943,306,562.30, 835,553,345,905.30 and 597,943,306,562.30

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Solution

The fourth proportional to 597,943,306,562.30, 835,553,345,905.30 and 597,943,306,562.30 is: 835,553,345,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,943,306,562.30 : 835,553,345,905.30 = 597,943,306,562.30 : x
  2. Step 2: Convert to fraction form
    597,943,306,562.30/835,553,345,905.30 = 597,943,306,562.30/x
  3. Step 3: Cross multiply
    597,943,306,562.30x = 835,553,345,905.30 × 597,943,306,562.30
  4. Step 4: Simplify right side
    597,943,306,562.30x = 499,613,530,459,808,339,066,880
  5. Step 5: Solve for x
    x = 499,613,530,459,808,339,066,880/597,943,306,562.30
  6. Step 6: Final answer
    x = 835,553,345,905.30

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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.