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Finding the Fourth Proportional to 1,241,180,455,630, 1,861,770,683,445 and 1,241,180,455,630

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Solution

The fourth proportional to 1,241,180,455,630, 1,861,770,683,445 and 1,241,180,455,630 is: 1,861,770,683,445

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,630 : 1,861,770,683,445 = 1,241,180,455,630 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,630/1,861,770,683,445 = 1,241,180,455,630/x
  3. Step 3: Cross multiply
    1,241,180,455,630x = 1,861,770,683,445 × 1,241,180,455,630
  4. Step 4: Simplify right side
    1,241,180,455,630x = 2,310,793,385,156,841,551,429,632
  5. Step 5: Solve for x
    x = 2,310,793,385,156,841,551,429,632/1,241,180,455,630
  6. Step 6: Final answer
    x = 1,861,770,683,445

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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.