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Finding the Fourth Proportional to 1,241,180,455,618, 1,861,770,683,427 and 1,241,180,455,618

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Solution

The fourth proportional to 1,241,180,455,618, 1,861,770,683,427 and 1,241,180,455,618 is: 1,861,770,683,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,618 : 1,861,770,683,427 = 1,241,180,455,618 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,618/1,861,770,683,427 = 1,241,180,455,618/x
  3. Step 3: Cross multiply
    1,241,180,455,618x = 1,861,770,683,427 × 1,241,180,455,618
  4. Step 4: Simplify right side
    1,241,180,455,618x = 2,310,793,385,112,159,127,601,152
  5. Step 5: Solve for x
    x = 2,310,793,385,112,159,127,601,152/1,241,180,455,618
  6. Step 6: Final answer
    x = 1,861,770,683,427

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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.