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Finding the Fourth Proportional to 594,505,336,500.45, 891,758,004,750.67 and 594,505,336,500.45

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Solution

The fourth proportional to 594,505,336,500.45, 891,758,004,750.67 and 594,505,336,500.45 is: 891,758,004,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,336,500.45 : 891,758,004,750.67 = 594,505,336,500.45 : x
  2. Step 2: Convert to fraction form
    594,505,336,500.45/891,758,004,750.67 = 594,505,336,500.45/x
  3. Step 3: Cross multiply
    594,505,336,500.45x = 891,758,004,750.67 × 594,505,336,500.45
  4. Step 4: Simplify right side
    594,505,336,500.45x = 530,154,892,691,266,915,532,800
  5. Step 5: Solve for x
    x = 530,154,892,691,266,915,532,800/594,505,336,500.45
  6. Step 6: Final answer
    x = 891,758,004,750.67

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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.