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Finding the Fourth Proportional to 1,241,180,455,786, 1,861,770,683,679 and 1,241,180,455,786

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Solution

The fourth proportional to 1,241,180,455,786, 1,861,770,683,679 and 1,241,180,455,786 is: 1,861,770,683,679

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,786 : 1,861,770,683,679 = 1,241,180,455,786 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,786/1,861,770,683,679 = 1,241,180,455,786/x
  3. Step 3: Cross multiply
    1,241,180,455,786x = 1,861,770,683,679 × 1,241,180,455,786
  4. Step 4: Simplify right side
    1,241,180,455,786x = 2,310,793,385,737,714,134,941,696
  5. Step 5: Solve for x
    x = 2,310,793,385,737,714,134,941,696/1,241,180,455,786
  6. Step 6: Final answer
    x = 1,861,770,683,679

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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.