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Finding the Fourth Proportional to 301,213,311.60, 451,819,967.64 and 301,213,311.60

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Solution

The fourth proportional to 301,213,311.60, 451,819,967.64 and 301,213,311.60 is: 451,819,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,213,311.60 : 451,819,967.64 = 301,213,311.60 : x
  2. Step 2: Convert to fraction form
    301,213,311.60/451,819,967.64 = 301,213,311.60/x
  3. Step 3: Cross multiply
    301,213,311.60x = 451,819,967.64 × 301,213,311.60
  4. Step 4: Simplify right side
    301,213,311.60x = 136,094,188,699,849,248
  5. Step 5: Solve for x
    x = 136,094,188,699,849,248/301,213,311.60
  6. Step 6: Final answer
    x = 451,819,967.64

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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.