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Finding the Fourth Proportional to 472,416,198.20, 708,624,297.30 and 429,334,047.80

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Solution

The fourth proportional to 472,416,198.20, 708,624,297.30 and 429,334,047.80 is: 644,001,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,416,198.20 : 708,624,297.30 = 429,334,047.80 : x
  2. Step 2: Convert to fraction form
    472,416,198.20/708,624,297.30 = 429,334,047.80/x
  3. Step 3: Cross multiply
    472,416,198.20x = 708,624,297.30 × 429,334,047.80
  4. Step 4: Simplify right side
    472,416,198.20x = 304,236,537,929,239,616
  5. Step 5: Solve for x
    x = 304,236,537,929,239,616/472,416,198.20
  6. Step 6: Final answer
    x = 644,001,071.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.