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Finding the Fourth Proportional to 303,429,797.40, 418,733,120.94 and 164,200,559.10

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Solution

The fourth proportional to 303,429,797.40, 418,733,120.94 and 164,200,559.10 is: 226,596,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,429,797.40 : 418,733,120.94 = 164,200,559.10 : x
  2. Step 2: Convert to fraction form
    303,429,797.40/418,733,120.94 = 164,200,559.10/x
  3. Step 3: Cross multiply
    303,429,797.40x = 418,733,120.94 × 164,200,559.10
  4. Step 4: Simplify right side
    303,429,797.40x = 68,756,212,572,035,912
  5. Step 5: Solve for x
    x = 68,756,212,572,035,912/303,429,797.40
  6. Step 6: Final answer
    x = 226,596,771.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.