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Finding the Fourth Proportional to 410,688,015.80, 616,032,023.70 and 330,066,447.80

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Solution

The fourth proportional to 410,688,015.80, 616,032,023.70 and 330,066,447.80 is: 495,099,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,688,015.80 : 616,032,023.70 = 330,066,447.80 : x
  2. Step 2: Convert to fraction form
    410,688,015.80/616,032,023.70 = 330,066,447.80/x
  3. Step 3: Cross multiply
    410,688,015.80x = 616,032,023.70 × 330,066,447.80
  4. Step 4: Simplify right side
    410,688,015.80x = 203,331,501,793,704,448
  5. Step 5: Solve for x
    x = 203,331,501,793,704,448/410,688,015.80
  6. Step 6: Final answer
    x = 495,099,671.70

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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.