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Finding the Fourth Proportional to 299,242,022.65, 412,726,742.43 and 257,496,045.43

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Solution

The fourth proportional to 299,242,022.65, 412,726,742.43 and 257,496,045.43 is: 355,148,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,242,022.65 : 412,726,742.43 = 257,496,045.43 : x
  2. Step 2: Convert to fraction form
    299,242,022.65/412,726,742.43 = 257,496,045.43/x
  3. Step 3: Cross multiply
    299,242,022.65x = 412,726,742.43 × 257,496,045.43
  4. Step 4: Simplify right side
    299,242,022.65x = 106,275,504,018,931,200
  5. Step 5: Solve for x
    x = 106,275,504,018,931,200/299,242,022.65
  6. Step 6: Final answer
    x = 355,148,996.38

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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.