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Finding the Fourth Proportional to 1,241,180,455,729, 1,861,770,683,593.50 and 1,241,180,455,729

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Solution

The fourth proportional to 1,241,180,455,729, 1,861,770,683,593.50 and 1,241,180,455,729 is: 1,861,770,683,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,729 : 1,861,770,683,593.50 = 1,241,180,455,729 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,729/1,861,770,683,593.50 = 1,241,180,455,729/x
  3. Step 3: Cross multiply
    1,241,180,455,729x = 1,861,770,683,593.50 × 1,241,180,455,729
  4. Step 4: Simplify right side
    1,241,180,455,729x = 2,310,793,385,525,472,151,994,368
  5. Step 5: Solve for x
    x = 2,310,793,385,525,472,151,994,368/1,241,180,455,729
  6. Step 6: Final answer
    x = 1,861,770,683,593.50

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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.