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Finding the Fourth Proportional to 577,169,564.82, 796,472,661.04 and 312,845,882.75

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Solution

The fourth proportional to 577,169,564.82, 796,472,661.04 and 312,845,882.75 is: 431,715,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,169,564.82 : 796,472,661.04 = 312,845,882.75 : x
  2. Step 2: Convert to fraction form
    577,169,564.82/796,472,661.04 = 312,845,882.75/x
  3. Step 3: Cross multiply
    577,169,564.82x = 796,472,661.04 × 312,845,882.75
  4. Step 4: Simplify right side
    577,169,564.82x = 249,173,192,730,082,464
  5. Step 5: Solve for x
    x = 249,173,192,730,082,464/577,169,564.82
  6. Step 6: Final answer
    x = 431,715,752.04

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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.