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Finding the Fourth Proportional to 408,943,805,200.77, 613,415,707,801.16 and 408,943,805,200.77

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Solution

The fourth proportional to 408,943,805,200.77, 613,415,707,801.16 and 408,943,805,200.77 is: 613,415,707,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943,805,200.77 : 613,415,707,801.16 = 408,943,805,200.77 : x
  2. Step 2: Convert to fraction form
    408,943,805,200.77/613,415,707,801.16 = 408,943,805,200.77/x
  3. Step 3: Cross multiply
    408,943,805,200.77x = 613,415,707,801.16 × 408,943,805,200.77
  4. Step 4: Simplify right side
    408,943,805,200.77x = 250,852,553,718,130,043,518,976
  5. Step 5: Solve for x
    x = 250,852,553,718,130,043,518,976/408,943,805,200.77
  6. Step 6: Final answer
    x = 613,415,707,801.16

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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.