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Finding the Fourth Proportional to 808,698,930.32, 1,213,051,949.20 and 256,004,073.68

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Solution

The fourth proportional to 808,698,930.32, 1,213,051,949.20 and 256,004,073.68 is: 384,007,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,698,930.32 : 1,213,051,949.20 = 256,004,073.68 : x
  2. Step 2: Convert to fraction form
    808,698,930.32/1,213,051,949.20 = 256,004,073.68/x
  3. Step 3: Cross multiply
    808,698,930.32x = 1,213,051,949.20 × 256,004,073.68
  4. Step 4: Simplify right side
    808,698,930.32x = 310,546,240,580,664,448
  5. Step 5: Solve for x
    x = 310,546,240,580,664,448/808,698,930.32
  6. Step 6: Final answer
    x = 384,007,235.50

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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.