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Finding the Fourth Proportional to 436,309,808.80, 654,464,713.20 and 436,309,808.80

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Solution

The fourth proportional to 436,309,808.80, 654,464,713.20 and 436,309,808.80 is: 654,464,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,309,808.80 : 654,464,713.20 = 436,309,808.80 : x
  2. Step 2: Convert to fraction form
    436,309,808.80/654,464,713.20 = 436,309,808.80/x
  3. Step 3: Cross multiply
    436,309,808.80x = 654,464,713.20 × 436,309,808.80
  4. Step 4: Simplify right side
    436,309,808.80x = 285,549,373,882,638,880
  5. Step 5: Solve for x
    x = 285,549,373,882,638,880/436,309,808.80
  6. Step 6: Final answer
    x = 654,464,713.20

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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.