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Finding the Fourth Proportional to 597,943,306,539.80, 835,553,345,873.80 and 597,943,306,539.80

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Solution

The fourth proportional to 597,943,306,539.80, 835,553,345,873.80 and 597,943,306,539.80 is: 835,553,345,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,943,306,539.80 : 835,553,345,873.80 = 597,943,306,539.80 : x
  2. Step 2: Convert to fraction form
    597,943,306,539.80/835,553,345,873.80 = 597,943,306,539.80/x
  3. Step 3: Cross multiply
    597,943,306,539.80x = 835,553,345,873.80 × 597,943,306,539.80
  4. Step 4: Simplify right side
    597,943,306,539.80x = 499,613,530,422,173,218,373,632
  5. Step 5: Solve for x
    x = 499,613,530,422,173,218,373,632/597,943,306,539.80
  6. Step 6: Final answer
    x = 835,553,345,873.80

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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.