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Finding the Fourth Proportional to 299,652,953.28, 413,519,878.80 and 167,493,806.88

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Solution

The fourth proportional to 299,652,953.28, 413,519,878.80 and 167,493,806.88 is: 231,140,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,652,953.28 : 413,519,878.80 = 167,493,806.88 : x
  2. Step 2: Convert to fraction form
    299,652,953.28/413,519,878.80 = 167,493,806.88/x
  3. Step 3: Cross multiply
    299,652,953.28x = 413,519,878.80 × 167,493,806.88
  4. Step 4: Simplify right side
    299,652,953.28x = 69,262,018,720,768,208
  5. Step 5: Solve for x
    x = 69,262,018,720,768,208/299,652,953.28
  6. Step 6: Final answer
    x = 231,140,784.57

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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.