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Finding the Fourth Proportional to 704,853,551.84, 972,640,965.16 and 407,514,959.17

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Solution

The fourth proportional to 704,853,551.84, 972,640,965.16 and 407,514,959.17 is: 562,337,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,853,551.84 : 972,640,965.16 = 407,514,959.17 : x
  2. Step 2: Convert to fraction form
    704,853,551.84/972,640,965.16 = 407,514,959.17/x
  3. Step 3: Cross multiply
    704,853,551.84x = 972,640,965.16 × 407,514,959.17
  4. Step 4: Simplify right side
    704,853,551.84x = 396,365,743,204,246,784
  5. Step 5: Solve for x
    x = 396,365,743,204,246,784/704,853,551.84
  6. Step 6: Final answer
    x = 562,337,725.57

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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.