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Finding the Fourth Proportional to 562,607,992.06, 776,399,029.05 and 315,089,346.31

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Solution

The fourth proportional to 562,607,992.06, 776,399,029.05 and 315,089,346.31 is: 434,823,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,607,992.06 : 776,399,029.05 = 315,089,346.31 : x
  2. Step 2: Convert to fraction form
    562,607,992.06/776,399,029.05 = 315,089,346.31/x
  3. Step 3: Cross multiply
    562,607,992.06x = 776,399,029.05 × 315,089,346.31
  4. Step 4: Simplify right side
    562,607,992.06x = 244,635,062,539,083,200
  5. Step 5: Solve for x
    x = 244,635,062,539,083,200/562,607,992.06
  6. Step 6: Final answer
    x = 434,823,297.91

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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.