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Finding the Fourth Proportional to 874,196,906.60, 1,311,295,359.90 and 824,032,375.40

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Solution

The fourth proportional to 874,196,906.60, 1,311,295,359.90 and 824,032,375.40 is: 1,236,048,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,196,906.60 : 1,311,295,359.90 = 824,032,375.40 : x
  2. Step 2: Convert to fraction form
    874,196,906.60/1,311,295,359.90 = 824,032,375.40/x
  3. Step 3: Cross multiply
    874,196,906.60x = 1,311,295,359.90 × 824,032,375.40
  4. Step 4: Simplify right side
    874,196,906.60x = 1,080,549,830,269,394,944
  5. Step 5: Solve for x
    x = 1,080,549,830,269,394,944/874,196,906.60
  6. Step 6: Final answer
    x = 1,236,048,563.10

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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.