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Finding the Fourth Proportional to 468,628,303.36, 646,707,044.64 and 259,783,916.80

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Solution

The fourth proportional to 468,628,303.36, 646,707,044.64 and 259,783,916.80 is: 358,501,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,628,303.36 : 646,707,044.64 = 259,783,916.80 : x
  2. Step 2: Convert to fraction form
    468,628,303.36/646,707,044.64 = 259,783,916.80/x
  3. Step 3: Cross multiply
    468,628,303.36x = 646,707,044.64 × 259,783,916.80
  4. Step 4: Simplify right side
    468,628,303.36x = 168,004,089,078,731,648
  5. Step 5: Solve for x
    x = 168,004,089,078,731,648/468,628,303.36
  6. Step 6: Final answer
    x = 358,501,797.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.