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Finding the Fourth Proportional to 1,241,180,455,742, 1,861,770,683,612.80 and 1,241,180,455,742

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Solution

The fourth proportional to 1,241,180,455,742, 1,861,770,683,612.80 and 1,241,180,455,742 is: 1,861,770,683,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,742 : 1,861,770,683,612.80 = 1,241,180,455,742 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,742/1,861,770,683,612.80 = 1,241,180,455,742/x
  3. Step 3: Cross multiply
    1,241,180,455,742x = 1,861,770,683,612.80 × 1,241,180,455,742
  4. Step 4: Simplify right side
    1,241,180,455,742x = 2,310,793,385,573,630,009,671,680
  5. Step 5: Solve for x
    x = 2,310,793,385,573,630,009,671,680/1,241,180,455,742
  6. Step 6: Final answer
    x = 1,861,770,683,612.80

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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.