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Finding the Fourth Proportional to 1,972,078,511,091.60, 2,958,117,766,637.40 and 1,972,078,511,091.60

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Solution

The fourth proportional to 1,972,078,511,091.60, 2,958,117,766,637.40 and 1,972,078,511,091.60 is: 2,958,117,766,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,078,511,091.60 : 2,958,117,766,637.40 = 1,972,078,511,091.60 : x
  2. Step 2: Convert to fraction form
    1,972,078,511,091.60/2,958,117,766,637.40 = 1,972,078,511,091.60/x
  3. Step 3: Cross multiply
    1,972,078,511,091.60x = 2,958,117,766,637.40 × 1,972,078,511,091.60
  4. Step 4: Simplify right side
    1,972,078,511,091.60x = 5,833,640,480,863,893,046,951,936
  5. Step 5: Solve for x
    x = 5,833,640,480,863,893,046,951,936/1,972,078,511,091.60
  6. Step 6: Final answer
    x = 2,958,117,766,637.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.