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Finding the Fourth Proportional to 422,896,448.64, 583,549,765.63 and 234,732,674.41

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Solution

The fourth proportional to 422,896,448.64, 583,549,765.63 and 234,732,674.41 is: 323,904,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,896,448.64 : 583,549,765.63 = 234,732,674.41 : x
  2. Step 2: Convert to fraction form
    422,896,448.64/583,549,765.63 = 234,732,674.41/x
  3. Step 3: Cross multiply
    422,896,448.64x = 583,549,765.63 × 234,732,674.41
  4. Step 4: Simplify right side
    422,896,448.64x = 136,978,197,137,658,592
  5. Step 5: Solve for x
    x = 136,978,197,137,658,592/422,896,448.64
  6. Step 6: Final answer
    x = 323,904,817.78

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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.