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Finding the Fourth Proportional to 5,415,376,807.80, 8,110,151,195.40 and 5,415,376,807.80

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Solution

The fourth proportional to 5,415,376,807.80, 8,110,151,195.40 and 5,415,376,807.80 is: 8,110,151,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,376,807.80 : 8,110,151,195.40 = 5,415,376,807.80 : x
  2. Step 2: Convert to fraction form
    5,415,376,807.80/8,110,151,195.40 = 5,415,376,807.80/x
  3. Step 3: Cross multiply
    5,415,376,807.80x = 8,110,151,195.40 × 5,415,376,807.80
  4. Step 4: Simplify right side
    5,415,376,807.80x = 43,919,524,691,320,602,624
  5. Step 5: Solve for x
    x = 43,919,524,691,320,602,624/5,415,376,807.80
  6. Step 6: Final answer
    x = 8,110,151,195.40

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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.