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Finding the Fourth Proportional to 1,241,180,455,598, 1,861,770,683,397 and 1,241,180,455,598

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Solution

The fourth proportional to 1,241,180,455,598, 1,861,770,683,397 and 1,241,180,455,598 is: 1,861,770,683,397

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,598 : 1,861,770,683,397 = 1,241,180,455,598 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,598/1,861,770,683,397 = 1,241,180,455,598/x
  3. Step 3: Cross multiply
    1,241,180,455,598x = 1,861,770,683,397 × 1,241,180,455,598
  4. Step 4: Simplify right side
    1,241,180,455,598x = 2,310,793,385,037,688,152,784,896
  5. Step 5: Solve for x
    x = 2,310,793,385,037,688,152,784,896/1,241,180,455,598
  6. Step 6: Final answer
    x = 1,861,770,683,397

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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.