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Finding the Fourth Proportional to 35,902,019,965.30, 53,853,029,947.95 and 35,902,019,965.30

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Solution

The fourth proportional to 35,902,019,965.30, 53,853,029,947.95 and 35,902,019,965.30 is: 53,853,029,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902,019,965.30 : 53,853,029,947.95 = 35,902,019,965.30 : x
  2. Step 2: Convert to fraction form
    35,902,019,965.30/53,853,029,947.95 = 35,902,019,965.30/x
  3. Step 3: Cross multiply
    35,902,019,965.30x = 53,853,029,947.95 × 35,902,019,965.30
  4. Step 4: Simplify right side
    35,902,019,965.30x = 1,933,432,556,383,199,821,824
  5. Step 5: Solve for x
    x = 1,933,432,556,383,199,821,824/35,902,019,965.30
  6. Step 6: Final answer
    x = 53,853,029,947.95

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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.