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Finding the Fourth Proportional to 200,990,804.40, 301,486,206.60 and 192,487,748.40

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Solution

The fourth proportional to 200,990,804.40, 301,486,206.60 and 192,487,748.40 is: 288,731,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,990,804.40 : 301,486,206.60 = 192,487,748.40 : x
  2. Step 2: Convert to fraction form
    200,990,804.40/301,486,206.60 = 192,487,748.40/x
  3. Step 3: Cross multiply
    200,990,804.40x = 301,486,206.60 × 192,487,748.40
  4. Step 4: Simplify right side
    200,990,804.40x = 58,032,401,082,091,224
  5. Step 5: Solve for x
    x = 58,032,401,082,091,224/200,990,804.40
  6. Step 6: Final answer
    x = 288,731,622.60

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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.