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Finding the Fourth Proportional to 339,956,465.60, 509,934,698.40 and 217,512,459.20

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Solution

The fourth proportional to 339,956,465.60, 509,934,698.40 and 217,512,459.20 is: 326,268,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,956,465.60 : 509,934,698.40 = 217,512,459.20 : x
  2. Step 2: Convert to fraction form
    339,956,465.60/509,934,698.40 = 217,512,459.20/x
  3. Step 3: Cross multiply
    339,956,465.60x = 509,934,698.40 × 217,512,459.20
  4. Step 4: Simplify right side
    339,956,465.60x = 110,917,150,280,394,288
  5. Step 5: Solve for x
    x = 110,917,150,280,394,288/339,956,465.60
  6. Step 6: Final answer
    x = 326,268,688.80

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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.