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Finding the Fourth Proportional to 4,893,052,092.06, 7,339,578,138.08 and 4,893,052,092.06

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Solution

The fourth proportional to 4,893,052,092.06, 7,339,578,138.08 and 4,893,052,092.06 is: 7,339,578,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893,052,092.06 : 7,339,578,138.08 = 4,893,052,092.06 : x
  2. Step 2: Convert to fraction form
    4,893,052,092.06/7,339,578,138.08 = 4,893,052,092.06/x
  3. Step 3: Cross multiply
    4,893,052,092.06x = 7,339,578,138.08 × 4,893,052,092.06
  4. Step 4: Simplify right side
    4,893,052,092.06x = 35,912,938,163,370,184,704
  5. Step 5: Solve for x
    x = 35,912,938,163,370,184,704/4,893,052,092.06
  6. Step 6: Final answer
    x = 7,339,578,138.08

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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.