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Finding the Fourth Proportional to 336,012,813,000.10, 504,019,219,500.20 and 336,012,813,000.10

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Solution

The fourth proportional to 336,012,813,000.10, 504,019,219,500.20 and 336,012,813,000.10 is: 504,019,219,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,012,813,000.10 : 504,019,219,500.20 = 336,012,813,000.10 : x
  2. Step 2: Convert to fraction form
    336,012,813,000.10/504,019,219,500.20 = 336,012,813,000.10/x
  3. Step 3: Cross multiply
    336,012,813,000.10x = 504,019,219,500.20 × 336,012,813,000.10
  4. Step 4: Simplify right side
    336,012,813,000.10x = 169,356,915,750,377,055,322,112
  5. Step 5: Solve for x
    x = 169,356,915,750,377,055,322,112/336,012,813,000.10
  6. Step 6: Final answer
    x = 504,019,219,500.20

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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.