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Finding the Fourth Proportional to 814,663,071.45, 1,222,783,797.06 and 770,420,608.20

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Solution

The fourth proportional to 814,663,071.45, 1,222,783,797.06 and 770,420,608.20 is: 1,156,377,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,663,071.45 : 1,222,783,797.06 = 770,420,608.20 : x
  2. Step 2: Convert to fraction form
    814,663,071.45/1,222,783,797.06 = 770,420,608.20/x
  3. Step 3: Cross multiply
    814,663,071.45x = 1,222,783,797.06 × 770,420,608.20
  4. Step 4: Simplify right side
    814,663,071.45x = 942,057,836,628,070,528
  5. Step 5: Solve for x
    x = 942,057,836,628,070,528/814,663,071.45
  6. Step 6: Final answer
    x = 1,156,377,243.11

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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.