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Finding the Fourth Proportional to 301,536,416.80, 421,290,049.10 and 301,536,416.80

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Solution

The fourth proportional to 301,536,416.80, 421,290,049.10 and 301,536,416.80 is: 421,290,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,536,416.80 : 421,290,049.10 = 301,536,416.80 : x
  2. Step 2: Convert to fraction form
    301,536,416.80/421,290,049.10 = 301,536,416.80/x
  3. Step 3: Cross multiply
    301,536,416.80x = 421,290,049.10 × 301,536,416.80
  4. Step 4: Simplify right side
    301,536,416.80x = 127,034,291,839,110,080
  5. Step 5: Solve for x
    x = 127,034,291,839,110,080/301,536,416.80
  6. Step 6: Final answer
    x = 421,290,049.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.