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Finding the Fourth Proportional to 1,099,701,693.82, 1,517,640,220.16 and 623,401,294.12

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Solution

The fourth proportional to 1,099,701,693.82, 1,517,640,220.16 and 623,401,294.12 is: 860,323,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,701,693.82 : 1,517,640,220.16 = 623,401,294.12 : x
  2. Step 2: Convert to fraction form
    1,099,701,693.82/1,517,640,220.16 = 623,401,294.12/x
  3. Step 3: Cross multiply
    1,099,701,693.82x = 1,517,640,220.16 × 623,401,294.12
  4. Step 4: Simplify right side
    1,099,701,693.82x = 946,098,877,263,753,472
  5. Step 5: Solve for x
    x = 946,098,877,263,753,472/1,099,701,693.82
  6. Step 6: Final answer
    x = 860,323,197.26

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Double scale
Find fourth proportional to 1,099,701,694.82, 1,517,640,221.54 and 623,401,295.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.