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Finding the Fourth Proportional to 205,029,792,806.30, 307,544,689,209.45 and 205,029,792,806.30

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Solution

The fourth proportional to 205,029,792,806.30, 307,544,689,209.45 and 205,029,792,806.30 is: 307,544,689,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029,792,806.30 : 307,544,689,209.45 = 205,029,792,806.30 : x
  2. Step 2: Convert to fraction form
    205,029,792,806.30/307,544,689,209.45 = 205,029,792,806.30/x
  3. Step 3: Cross multiply
    205,029,792,806.30x = 307,544,689,209.45 × 205,029,792,806.30
  4. Step 4: Simplify right side
    205,029,792,806.30x = 63,055,823,907,291,456,864,256
  5. Step 5: Solve for x
    x = 63,055,823,907,291,456,864,256/205,029,792,806.30
  6. Step 6: Final answer
    x = 307,544,689,209.45

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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.