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Finding the Fourth Proportional to 422,896,448.40, 583,549,765.28 and 234,732,674.16

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Solution

The fourth proportional to 422,896,448.40, 583,549,765.28 and 234,732,674.16 is: 323,904,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,896,448.40 : 583,549,765.28 = 234,732,674.16 : x
  2. Step 2: Convert to fraction form
    422,896,448.40/583,549,765.28 = 234,732,674.16/x
  3. Step 3: Cross multiply
    422,896,448.40x = 583,549,765.28 × 234,732,674.16
  4. Step 4: Simplify right side
    422,896,448.40x = 136,978,196,909,614,720
  5. Step 5: Solve for x
    x = 136,978,196,909,614,720/422,896,448.40
  6. Step 6: Final answer
    x = 323,904,817.43

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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.