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Finding the Fourth Proportional to 313,671,657.30, 470,507,485.95 and 109,131,753.30

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Solution

The fourth proportional to 313,671,657.30, 470,507,485.95 and 109,131,753.30 is: 163,697,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,671,657.30 : 470,507,485.95 = 109,131,753.30 : x
  2. Step 2: Convert to fraction form
    313,671,657.30/470,507,485.95 = 109,131,753.30/x
  3. Step 3: Cross multiply
    313,671,657.30x = 470,507,485.95 × 109,131,753.30
  4. Step 4: Simplify right side
    313,671,657.30x = 51,347,306,882,498,616
  5. Step 5: Solve for x
    x = 51,347,306,882,498,616/313,671,657.30
  6. Step 6: Final answer
    x = 163,697,629.95

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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.