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Finding the Fourth Proportional to 567,873,978.66, 783,673,704.81 and 320,354,567.46

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Solution

The fourth proportional to 567,873,978.66, 783,673,704.81 and 320,354,567.46 is: 442,093,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,873,978.66 : 783,673,704.81 = 320,354,567.46 : x
  2. Step 2: Convert to fraction form
    567,873,978.66/783,673,704.81 = 320,354,567.46/x
  3. Step 3: Cross multiply
    567,873,978.66x = 783,673,704.81 × 320,354,567.46
  4. Step 4: Simplify right side
    567,873,978.66x = 251,053,450,734,183,232
  5. Step 5: Solve for x
    x = 251,053,450,734,183,232/567,873,978.66
  6. Step 6: Final answer
    x = 442,093,598.52

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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.