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Finding the Fourth Proportional to 704,853,550.84, 972,640,963.78 and 407,514,958.17

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Solution

The fourth proportional to 704,853,550.84, 972,640,963.78 and 407,514,958.17 is: 562,337,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,853,550.84 : 972,640,963.78 = 407,514,958.17 : x
  2. Step 2: Convert to fraction form
    704,853,550.84/972,640,963.78 = 407,514,958.17/x
  3. Step 3: Cross multiply
    704,853,550.84x = 972,640,963.78 × 407,514,958.17
  4. Step 4: Simplify right side
    704,853,550.84x = 396,365,741,666,857,600
  5. Step 5: Solve for x
    x = 396,365,741,666,857,600/704,853,550.84
  6. Step 6: Final answer
    x = 562,337,724.19

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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.