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Finding the Fourth Proportional to 205,029,792,805.70, 307,544,689,208.55 and 205,029,792,805.70

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Solution

The fourth proportional to 205,029,792,805.70, 307,544,689,208.55 and 205,029,792,805.70 is: 307,544,689,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029,792,805.70 : 307,544,689,208.55 = 205,029,792,805.70 : x
  2. Step 2: Convert to fraction form
    205,029,792,805.70/307,544,689,208.55 = 205,029,792,805.70/x
  3. Step 3: Cross multiply
    205,029,792,805.70x = 307,544,689,208.55 × 205,029,792,805.70
  4. Step 4: Simplify right side
    205,029,792,805.70x = 63,055,823,906,922,408,443,904
  5. Step 5: Solve for x
    x = 63,055,823,906,922,408,443,904/205,029,792,805.70
  6. Step 6: Final answer
    x = 307,544,689,208.55

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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.