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Finding the Fourth Proportional to 12,097,410,856.80, 18,146,116,285.20 and 12,097,410,856.80

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Solution

The fourth proportional to 12,097,410,856.80, 18,146,116,285.20 and 12,097,410,856.80 is: 18,146,116,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097,410,856.80 : 18,146,116,285.20 = 12,097,410,856.80 : x
  2. Step 2: Convert to fraction form
    12,097,410,856.80/18,146,116,285.20 = 12,097,410,856.80/x
  3. Step 3: Cross multiply
    12,097,410,856.80x = 18,146,116,285.20 × 12,097,410,856.80
  4. Step 4: Simplify right side
    12,097,410,856.80x = 219,521,024,157,333,749,760
  5. Step 5: Solve for x
    x = 219,521,024,157,333,749,760/12,097,410,856.80
  6. Step 6: Final answer
    x = 18,146,116,285.20

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Double scale
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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.