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Finding the Fourth Proportional to 475,567,672.80, 713,351,509.20 and 320,599,477.20

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Solution

The fourth proportional to 475,567,672.80, 713,351,509.20 and 320,599,477.20 is: 480,899,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,567,672.80 : 713,351,509.20 = 320,599,477.20 : x
  2. Step 2: Convert to fraction form
    475,567,672.80/713,351,509.20 = 320,599,477.20/x
  3. Step 3: Cross multiply
    475,567,672.80x = 713,351,509.20 × 320,599,477.20
  4. Step 4: Simplify right side
    475,567,672.80x = 228,700,120,909,351,008
  5. Step 5: Solve for x
    x = 228,700,120,909,351,008/475,567,672.80
  6. Step 6: Final answer
    x = 480,899,215.80

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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.