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Finding the Fourth Proportional to 489,908,266.20, 734,862,399.30 and 489,908,266.20

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Solution

The fourth proportional to 489,908,266.20, 734,862,399.30 and 489,908,266.20 is: 734,862,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,908,266.20 : 734,862,399.30 = 489,908,266.20 : x
  2. Step 2: Convert to fraction form
    489,908,266.20/734,862,399.30 = 489,908,266.20/x
  3. Step 3: Cross multiply
    489,908,266.20x = 734,862,399.30 × 489,908,266.20
  4. Step 4: Simplify right side
    489,908,266.20x = 360,015,163,936,635,072
  5. Step 5: Solve for x
    x = 360,015,163,936,635,072/489,908,266.20
  6. Step 6: Final answer
    x = 734,862,399.30

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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.