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Finding the Fourth Proportional to 422,896,447.40, 583,549,763.90 and 234,732,673.16

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Solution

The fourth proportional to 422,896,447.40, 583,549,763.90 and 234,732,673.16 is: 323,904,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,896,447.40 : 583,549,763.90 = 234,732,673.16 : x
  2. Step 2: Convert to fraction form
    422,896,447.40/583,549,763.90 = 234,732,673.16/x
  3. Step 3: Cross multiply
    422,896,447.40x = 583,549,763.90 × 234,732,673.16
  4. Step 4: Simplify right side
    422,896,447.40x = 136,978,195,999,802,960
  5. Step 5: Solve for x
    x = 136,978,195,999,802,960/422,896,447.40
  6. Step 6: Final answer
    x = 323,904,816.05

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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.