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Finding the Fourth Proportional to 650,707,538.70, 897,973,151.29 and 353,347,132.88

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Solution

The fourth proportional to 650,707,538.70, 897,973,151.29 and 353,347,132.88 is: 487,617,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,707,538.70 : 897,973,151.29 = 353,347,132.88 : x
  2. Step 2: Convert to fraction form
    650,707,538.70/897,973,151.29 = 353,347,132.88/x
  3. Step 3: Cross multiply
    650,707,538.70x = 897,973,151.29 × 353,347,132.88
  4. Step 4: Simplify right side
    650,707,538.70x = 317,296,238,412,901,568
  5. Step 5: Solve for x
    x = 317,296,238,412,901,568/650,707,538.70
  6. Step 6: Final answer
    x = 487,617,277.41

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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.