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Finding the Fourth Proportional to 391,142,164,908.15, 586,713,247,362.23 and 391,142,164,908.15

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Solution

The fourth proportional to 391,142,164,908.15, 586,713,247,362.23 and 391,142,164,908.15 is: 586,713,247,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,142,164,908.15 : 586,713,247,362.23 = 391,142,164,908.15 : x
  2. Step 2: Convert to fraction form
    391,142,164,908.15/586,713,247,362.23 = 391,142,164,908.15/x
  3. Step 3: Cross multiply
    391,142,164,908.15x = 586,713,247,362.23 × 391,142,164,908.15
  4. Step 4: Simplify right side
    391,142,164,908.15x = 229,488,289,753,553,591,861,248
  5. Step 5: Solve for x
    x = 229,488,289,753,553,591,861,248/391,142,164,908.15
  6. Step 6: Final answer
    x = 586,713,247,362.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.