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Finding the Fourth Proportional to 1,002,734,724, 1,383,778,932.84 and 626,609,718.21

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Solution

The fourth proportional to 1,002,734,724, 1,383,778,932.84 and 626,609,718.21 is: 864,724,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,734,724 : 1,383,778,932.84 = 626,609,718.21 : x
  2. Step 2: Convert to fraction form
    1,002,734,724/1,383,778,932.84 = 626,609,718.21/x
  3. Step 3: Cross multiply
    1,002,734,724x = 1,383,778,932.84 × 626,609,718.21
  4. Step 4: Simplify right side
    1,002,734,724x = 867,089,327,171,806,976
  5. Step 5: Solve for x
    x = 867,089,327,171,806,976/1,002,734,724
  6. Step 6: Final answer
    x = 864,724,544.21

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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.