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Finding the Fourth Proportional to 1,241,180,455,787, 1,861,770,683,680.50 and 1,241,180,455,787

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Solution

The fourth proportional to 1,241,180,455,787, 1,861,770,683,680.50 and 1,241,180,455,787 is: 1,861,770,683,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,787 : 1,861,770,683,680.50 = 1,241,180,455,787 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,787/1,861,770,683,680.50 = 1,241,180,455,787/x
  3. Step 3: Cross multiply
    1,241,180,455,787x = 1,861,770,683,680.50 × 1,241,180,455,787
  4. Step 4: Simplify right side
    1,241,180,455,787x = 2,310,793,385,741,437,603,151,872
  5. Step 5: Solve for x
    x = 2,310,793,385,741,437,603,151,872/1,241,180,455,787
  6. Step 6: Final answer
    x = 1,861,770,683,680.50

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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.