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Finding the Fourth Proportional to 590,415,794.07, 814,768,951.71 and 322,491,797.59

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Solution

The fourth proportional to 590,415,794.07, 814,768,951.71 and 322,491,797.59 is: 445,036,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,415,794.07 : 814,768,951.71 = 322,491,797.59 : x
  2. Step 2: Convert to fraction form
    590,415,794.07/814,768,951.71 = 322,491,797.59/x
  3. Step 3: Cross multiply
    590,415,794.07x = 814,768,951.71 × 322,491,797.59
  4. Step 4: Simplify right side
    590,415,794.07x = 262,756,303,857,477,792
  5. Step 5: Solve for x
    x = 262,756,303,857,477,792/590,415,794.07
  6. Step 6: Final answer
    x = 445,036,034.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.