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Finding the Fourth Proportional to 1,996,142,753,999.80, 2,994,214,130,999.80 and 1,996,142,753,999.80

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Solution

The fourth proportional to 1,996,142,753,999.80, 2,994,214,130,999.80 and 1,996,142,753,999.80 is: 2,994,214,130,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,142,753,999.80 : 2,994,214,130,999.80 = 1,996,142,753,999.80 : x
  2. Step 2: Convert to fraction form
    1,996,142,753,999.80/2,994,214,130,999.80 = 1,996,142,753,999.80/x
  3. Step 3: Cross multiply
    1,996,142,753,999.80x = 2,994,214,130,999.80 × 1,996,142,753,999.80
  4. Step 4: Simplify right side
    1,996,142,753,999.80x = 5,976,878,841,519,058,339,233,792
  5. Step 5: Solve for x
    x = 5,976,878,841,519,058,339,233,792/1,996,142,753,999.80
  6. Step 6: Final answer
    x = 2,994,214,130,999.80

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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.