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Finding the Fourth Proportional to 1,241,180,455,627, 1,861,770,683,440.50 and 1,241,180,455,627

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Solution

The fourth proportional to 1,241,180,455,627, 1,861,770,683,440.50 and 1,241,180,455,627 is: 1,861,770,683,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,627 : 1,861,770,683,440.50 = 1,241,180,455,627 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,627/1,861,770,683,440.50 = 1,241,180,455,627/x
  3. Step 3: Cross multiply
    1,241,180,455,627x = 1,861,770,683,440.50 × 1,241,180,455,627
  4. Step 4: Simplify right side
    1,241,180,455,627x = 2,310,793,385,145,670,878,363,648
  5. Step 5: Solve for x
    x = 2,310,793,385,145,670,878,363,648/1,241,180,455,627
  6. Step 6: Final answer
    x = 1,861,770,683,440.50

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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.