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Finding the Fourth Proportional to 448,429,485.90, 672,644,228.85 and 448,429,485.90

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Solution

The fourth proportional to 448,429,485.90, 672,644,228.85 and 448,429,485.90 is: 672,644,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,429,485.90 : 672,644,228.85 = 448,429,485.90 : x
  2. Step 2: Convert to fraction form
    448,429,485.90/672,644,228.85 = 448,429,485.90/x
  3. Step 3: Cross multiply
    448,429,485.90x = 672,644,228.85 × 448,429,485.90
  4. Step 4: Simplify right side
    448,429,485.90x = 301,633,505,736,807,424
  5. Step 5: Solve for x
    x = 301,633,505,736,807,424/448,429,485.90
  6. Step 6: Final answer
    x = 672,644,228.85

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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.