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Finding the Fourth Proportional to 5,415,376,543.80, 8,110,150,799.40 and 5,415,376,543.80

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Solution

The fourth proportional to 5,415,376,543.80, 8,110,150,799.40 and 5,415,376,543.80 is: 8,110,150,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,376,543.80 : 8,110,150,799.40 = 5,415,376,543.80 : x
  2. Step 2: Convert to fraction form
    5,415,376,543.80/8,110,150,799.40 = 5,415,376,543.80/x
  3. Step 3: Cross multiply
    5,415,376,543.80x = 8,110,150,799.40 × 5,415,376,543.80
  4. Step 4: Simplify right side
    5,415,376,543.80x = 43,919,520,405,751,578,624
  5. Step 5: Solve for x
    x = 43,919,520,405,751,578,624/5,415,376,543.80
  6. Step 6: Final answer
    x = 8,110,150,799.40

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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.