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Finding the Fourth Proportional to 459,651,696.60, 689,477,544.90 and 422,028,298.20

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Solution

The fourth proportional to 459,651,696.60, 689,477,544.90 and 422,028,298.20 is: 633,042,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,651,696.60 : 689,477,544.90 = 422,028,298.20 : x
  2. Step 2: Convert to fraction form
    459,651,696.60/689,477,544.90 = 422,028,298.20/x
  3. Step 3: Cross multiply
    459,651,696.60x = 689,477,544.90 × 422,028,298.20
  4. Step 4: Simplify right side
    459,651,696.60x = 290,979,034,921,261,056
  5. Step 5: Solve for x
    x = 290,979,034,921,261,056/459,651,696.60
  6. Step 6: Final answer
    x = 633,042,447.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.