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Finding the Fourth Proportional to 854,987,235,624.90, 1,282,480,853,437.40 and 854,987,235,624.90

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Solution

The fourth proportional to 854,987,235,624.90, 1,282,480,853,437.40 and 854,987,235,624.90 is: 1,282,480,853,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,987,235,624.90 : 1,282,480,853,437.40 = 854,987,235,624.90 : x
  2. Step 2: Convert to fraction form
    854,987,235,624.90/1,282,480,853,437.40 = 854,987,235,624.90/x
  3. Step 3: Cross multiply
    854,987,235,624.90x = 1,282,480,853,437.40 × 854,987,235,624.90
  4. Step 4: Simplify right side
    854,987,235,624.90x = 1,096,504,759,622,305,153,286,144
  5. Step 5: Solve for x
    x = 1,096,504,759,622,305,153,286,144/854,987,235,624.90
  6. Step 6: Final answer
    x = 1,282,480,853,437.40

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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.