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Finding the Fourth Proportional to 1,241,180,455,508, 1,861,770,683,262 and 1,241,180,455,508

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Solution

The fourth proportional to 1,241,180,455,508, 1,861,770,683,262 and 1,241,180,455,508 is: 1,861,770,683,262

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,508 : 1,861,770,683,262 = 1,241,180,455,508 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,508/1,861,770,683,262 = 1,241,180,455,508/x
  3. Step 3: Cross multiply
    1,241,180,455,508x = 1,861,770,683,262 × 1,241,180,455,508
  4. Step 4: Simplify right side
    1,241,180,455,508x = 2,310,793,384,702,569,571,418,112
  5. Step 5: Solve for x
    x = 2,310,793,384,702,569,571,418,112/1,241,180,455,508
  6. Step 6: Final answer
    x = 1,861,770,683,262

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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.