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Finding the Fourth Proportional to 597,943,306,538.80, 835,553,345,872.40 and 597,943,306,538.80

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Solution

The fourth proportional to 597,943,306,538.80, 835,553,345,872.40 and 597,943,306,538.80 is: 835,553,345,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,943,306,538.80 : 835,553,345,872.40 = 597,943,306,538.80 : x
  2. Step 2: Convert to fraction form
    597,943,306,538.80/835,553,345,872.40 = 597,943,306,538.80/x
  3. Step 3: Cross multiply
    597,943,306,538.80x = 835,553,345,872.40 × 597,943,306,538.80
  4. Step 4: Simplify right side
    597,943,306,538.80x = 499,613,530,420,500,529,938,432
  5. Step 5: Solve for x
    x = 499,613,530,420,500,529,938,432/597,943,306,538.80
  6. Step 6: Final answer
    x = 835,553,345,872.40

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Why These Related Problems?

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