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Finding the Fourth Proportional to 404,158,200.45, 606,237,300.68 and 404,158,200.45

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Solution

The fourth proportional to 404,158,200.45, 606,237,300.68 and 404,158,200.45 is: 606,237,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,158,200.45 : 606,237,300.68 = 404,158,200.45 : x
  2. Step 2: Convert to fraction form
    404,158,200.45/606,237,300.68 = 404,158,200.45/x
  3. Step 3: Cross multiply
    404,158,200.45x = 606,237,300.68 × 404,158,200.45
  4. Step 4: Simplify right side
    404,158,200.45x = 245,015,776,486,473,536
  5. Step 5: Solve for x
    x = 245,015,776,486,473,536/404,158,200.45
  6. Step 6: Final answer
    x = 606,237,300.68

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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.