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Finding the Fourth Proportional to 146,886,552,456.30, 206,032,994,259.30 and 146,886,552,456.30

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Solution

The fourth proportional to 146,886,552,456.30, 206,032,994,259.30 and 146,886,552,456.30 is: 206,032,994,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,886,552,456.30 : 206,032,994,259.30 = 146,886,552,456.30 : x
  2. Step 2: Convert to fraction form
    146,886,552,456.30/206,032,994,259.30 = 146,886,552,456.30/x
  3. Step 3: Cross multiply
    146,886,552,456.30x = 206,032,994,259.30 × 146,886,552,456.30
  4. Step 4: Simplify right side
    146,886,552,456.30x = 30,263,476,218,997,222,932,480
  5. Step 5: Solve for x
    x = 30,263,476,218,997,222,932,480/146,886,552,456.30
  6. Step 6: Final answer
    x = 206,032,994,259.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.