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Finding the Fourth Proportional to 336,798,049.15, 470,369,356.25 and 336,798,049.15

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Solution

The fourth proportional to 336,798,049.15, 470,369,356.25 and 336,798,049.15 is: 470,369,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,798,049.15 : 470,369,356.25 = 336,798,049.15 : x
  2. Step 2: Convert to fraction form
    336,798,049.15/470,369,356.25 = 336,798,049.15/x
  3. Step 3: Cross multiply
    336,798,049.15x = 470,369,356.25 × 336,798,049.15
  4. Step 4: Simplify right side
    336,798,049.15x = 158,419,481,564,941,344
  5. Step 5: Solve for x
    x = 158,419,481,564,941,344/336,798,049.15
  6. Step 6: Final answer
    x = 470,369,356.25

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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.