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Finding the Fourth Proportional to 448,465,662.30, 672,698,493.45 and 448,465,662.30

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Solution

The fourth proportional to 448,465,662.30, 672,698,493.45 and 448,465,662.30 is: 672,698,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,465,662.30 : 672,698,493.45 = 448,465,662.30 : x
  2. Step 2: Convert to fraction form
    448,465,662.30/672,698,493.45 = 448,465,662.30/x
  3. Step 3: Cross multiply
    448,465,662.30x = 672,698,493.45 × 448,465,662.30
  4. Step 4: Simplify right side
    448,465,662.30x = 301,682,175,393,266,496
  5. Step 5: Solve for x
    x = 301,682,175,393,266,496/448,465,662.30
  6. Step 6: Final answer
    x = 672,698,493.45

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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.