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Finding the Fourth Proportional to 1,674,668,324.97, 2,512,002,322.22 and 447,804,890.01

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Solution

The fourth proportional to 1,674,668,324.97, 2,512,002,322.22 and 447,804,890.01 is: 671,707,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,668,324.97 : 2,512,002,322.22 = 447,804,890.01 : x
  2. Step 2: Convert to fraction form
    1,674,668,324.97/2,512,002,322.22 = 447,804,890.01/x
  3. Step 3: Cross multiply
    1,674,668,324.97x = 2,512,002,322.22 × 447,804,890.01
  4. Step 4: Simplify right side
    1,674,668,324.97x = 1,124,886,923,604,352,640
  5. Step 5: Solve for x
    x = 1,124,886,923,604,352,640/1,674,668,324.97
  6. Step 6: Final answer
    x = 671,707,290.83

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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.