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Finding the Fourth Proportional to 1,241,180,455,596, 1,861,770,683,394 and 1,241,180,455,596

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Solution

The fourth proportional to 1,241,180,455,596, 1,861,770,683,394 and 1,241,180,455,596 is: 1,861,770,683,394

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,596 : 1,861,770,683,394 = 1,241,180,455,596 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,596/1,861,770,683,394 = 1,241,180,455,596/x
  3. Step 3: Cross multiply
    1,241,180,455,596x = 1,861,770,683,394 × 1,241,180,455,596
  4. Step 4: Simplify right side
    1,241,180,455,596x = 2,310,793,385,030,241,216,364,544
  5. Step 5: Solve for x
    x = 2,310,793,385,030,241,216,364,544/1,241,180,455,596
  6. Step 6: Final answer
    x = 1,861,770,683,394

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.