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Finding the Fourth Proportional to 334,596,100,512.60, 501,894,150,768.90 and 334,596,100,512.60

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Solution

The fourth proportional to 334,596,100,512.60, 501,894,150,768.90 and 334,596,100,512.60 is: 501,894,150,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,596,100,512.60 : 501,894,150,768.90 = 334,596,100,512.60 : x
  2. Step 2: Convert to fraction form
    334,596,100,512.60/501,894,150,768.90 = 334,596,100,512.60/x
  3. Step 3: Cross multiply
    334,596,100,512.60x = 501,894,150,768.90 × 334,596,100,512.60
  4. Step 4: Simplify right side
    334,596,100,512.60x = 167,931,825,717,356,867,354,624
  5. Step 5: Solve for x
    x = 167,931,825,717,356,867,354,624/334,596,100,512.60
  6. Step 6: Final answer
    x = 501,894,150,768.90

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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.