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Finding the Fourth Proportional to 448,465,669.80, 672,698,504.70 and 448,465,669.80

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Solution

The fourth proportional to 448,465,669.80, 672,698,504.70 and 448,465,669.80 is: 672,698,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,465,669.80 : 672,698,504.70 = 448,465,669.80 : x
  2. Step 2: Convert to fraction form
    448,465,669.80/672,698,504.70 = 448,465,669.80/x
  3. Step 3: Cross multiply
    448,465,669.80x = 672,698,504.70 × 448,465,669.80
  4. Step 4: Simplify right side
    448,465,669.80x = 301,682,185,483,744,000
  5. Step 5: Solve for x
    x = 301,682,185,483,744,000/448,465,669.80
  6. Step 6: Final answer
    x = 672,698,504.70

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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.