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Finding the Fourth Proportional to 391,142,185,740.45, 586,713,278,610.68 and 391,142,185,740.45

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Solution

The fourth proportional to 391,142,185,740.45, 586,713,278,610.68 and 391,142,185,740.45 is: 586,713,278,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,142,185,740.45 : 586,713,278,610.68 = 391,142,185,740.45 : x
  2. Step 2: Convert to fraction form
    391,142,185,740.45/586,713,278,610.68 = 391,142,185,740.45/x
  3. Step 3: Cross multiply
    391,142,185,740.45x = 586,713,278,610.68 × 391,142,185,740.45
  4. Step 4: Simplify right side
    391,142,185,740.45x = 229,488,314,198,727,008,976,896
  5. Step 5: Solve for x
    x = 229,488,314,198,727,008,976,896/391,142,185,740.45
  6. Step 6: Final answer
    x = 586,713,278,610.68

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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.