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Finding the Fourth Proportional to 577,651,709.98, 797,158,542.45 and 313,333,383.84

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Solution

The fourth proportional to 577,651,709.98, 797,158,542.45 and 313,333,383.84 is: 432,399,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,651,709.98 : 797,158,542.45 = 313,333,383.84 : x
  2. Step 2: Convert to fraction form
    577,651,709.98/797,158,542.45 = 313,333,383.84/x
  3. Step 3: Cross multiply
    577,651,709.98x = 797,158,542.45 × 313,333,383.84
  4. Step 4: Simplify right side
    577,651,709.98x = 249,776,383,562,820,768
  5. Step 5: Solve for x
    x = 249,776,383,562,820,768/577,651,709.98
  6. Step 6: Final answer
    x = 432,399,626.36

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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.