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Finding the Fourth Proportional to 146,886,552,463.80, 206,032,994,269.80 and 146,886,552,463.80

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Solution

The fourth proportional to 146,886,552,463.80, 206,032,994,269.80 and 146,886,552,463.80 is: 206,032,994,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,886,552,463.80 : 206,032,994,269.80 = 146,886,552,463.80 : x
  2. Step 2: Convert to fraction form
    146,886,552,463.80/206,032,994,269.80 = 146,886,552,463.80/x
  3. Step 3: Cross multiply
    146,886,552,463.80x = 206,032,994,269.80 × 146,886,552,463.80
  4. Step 4: Simplify right side
    146,886,552,463.80x = 30,263,476,222,084,780,130,304
  5. Step 5: Solve for x
    x = 30,263,476,222,084,780,130,304/146,886,552,463.80
  6. Step 6: Final answer
    x = 206,032,994,269.80

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