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Finding the Fourth Proportional to 164,339,875,808.80, 246,509,813,713.20 and 164,339,875,808.80

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Solution

The fourth proportional to 164,339,875,808.80, 246,509,813,713.20 and 164,339,875,808.80 is: 246,509,813,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,339,875,808.80 : 246,509,813,713.20 = 164,339,875,808.80 : x
  2. Step 2: Convert to fraction form
    164,339,875,808.80/246,509,813,713.20 = 164,339,875,808.80/x
  3. Step 3: Cross multiply
    164,339,875,808.80x = 246,509,813,713.20 × 164,339,875,808.80
  4. Step 4: Simplify right side
    164,339,875,808.80x = 40,511,392,171,277,707,902,976
  5. Step 5: Solve for x
    x = 40,511,392,171,277,707,902,976/164,339,875,808.80
  6. Step 6: Final answer
    x = 246,509,813,713.20

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1.5x scale

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.