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Finding the Fourth Proportional to 327,569,388,000.40, 490,619,417,962.20 and 327,569,388,000.40

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Solution

The fourth proportional to 327,569,388,000.40, 490,619,417,962.20 and 327,569,388,000.40 is: 490,619,417,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,569,388,000.40 : 490,619,417,962.20 = 327,569,388,000.40 : x
  2. Step 2: Convert to fraction form
    327,569,388,000.40/490,619,417,962.20 = 327,569,388,000.40/x
  3. Step 3: Cross multiply
    327,569,388,000.40x = 490,619,417,962.20 × 327,569,388,000.40
  4. Step 4: Simplify right side
    327,569,388,000.40x = 160,711,902,482,990,310,096,896
  5. Step 5: Solve for x
    x = 160,711,902,482,990,310,096,896/327,569,388,000.40
  6. Step 6: Final answer
    x = 490,619,417,962.20

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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.