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Finding the Fourth Proportional to 71,697,794,502, 98,987,609,420.18 and 45,640,862,096.90

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Solution

The fourth proportional to 71,697,794,502, 98,987,609,420.18 and 45,640,862,096.90 is: 63,012,814,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,697,794,502 : 98,987,609,420.18 = 45,640,862,096.90 : x
  2. Step 2: Convert to fraction form
    71,697,794,502/98,987,609,420.18 = 45,640,862,096.90/x
  3. Step 3: Cross multiply
    71,697,794,502x = 98,987,609,420.18 × 45,640,862,096.90
  4. Step 4: Simplify right side
    71,697,794,502x = 4,517,879,830,848,234,586,112
  5. Step 5: Solve for x
    x = 4,517,879,830,848,234,586,112/71,697,794,502
  6. Step 6: Final answer
    x = 63,012,814,581.38

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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.