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Finding the Fourth Proportional to 3,208,486,470,600.30, 4,812,729,705,900.30 and 3,208,486,470,600.30

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Solution

The fourth proportional to 3,208,486,470,600.30, 4,812,729,705,900.30 and 3,208,486,470,600.30 is: 4,812,729,705,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208,486,470,600.30 : 4,812,729,705,900.30 = 3,208,486,470,600.30 : x
  2. Step 2: Convert to fraction form
    3,208,486,470,600.30/4,812,729,705,900.30 = 3,208,486,470,600.30/x
  3. Step 3: Cross multiply
    3,208,486,470,600.30x = 4,812,729,705,900.30 × 3,208,486,470,600.30
  4. Step 4: Simplify right side
    3,208,486,470,600.30x = 15,441,578,148,037,271,136,239,616
  5. Step 5: Solve for x
    x = 15,441,578,148,037,271,136,239,616/3,208,486,470,600.30
  6. Step 6: Final answer
    x = 4,812,729,705,900.30

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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.