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Finding the Fourth Proportional to 336,013,286,213.60, 504,019,929,320.40 and 336,013,286,213.60

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Solution

The fourth proportional to 336,013,286,213.60, 504,019,929,320.40 and 336,013,286,213.60 is: 504,019,929,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,013,286,213.60 : 504,019,929,320.40 = 336,013,286,213.60 : x
  2. Step 2: Convert to fraction form
    336,013,286,213.60/504,019,929,320.40 = 336,013,286,213.60/x
  3. Step 3: Cross multiply
    336,013,286,213.60x = 504,019,929,320.40 × 336,013,286,213.60
  4. Step 4: Simplify right side
    336,013,286,213.60x = 169,357,392,768,093,999,071,232
  5. Step 5: Solve for x
    x = 169,357,392,768,093,999,071,232/336,013,286,213.60
  6. Step 6: Final answer
    x = 504,019,929,320.40

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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.