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Finding the Fourth Proportional to 848,646,837,818.80, 1,272,970,256,728.20 and 848,646,837,818.80

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Solution

The fourth proportional to 848,646,837,818.80, 1,272,970,256,728.20 and 848,646,837,818.80 is: 1,272,970,256,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,646,837,818.80 : 1,272,970,256,728.20 = 848,646,837,818.80 : x
  2. Step 2: Convert to fraction form
    848,646,837,818.80/1,272,970,256,728.20 = 848,646,837,818.80/x
  3. Step 3: Cross multiply
    848,646,837,818.80x = 1,272,970,256,728.20 × 848,646,837,818.80
  4. Step 4: Simplify right side
    848,646,837,818.80x = 1,080,302,183,009,772,982,239,232
  5. Step 5: Solve for x
    x = 1,080,302,183,009,772,982,239,232/848,646,837,818.80
  6. Step 6: Final answer
    x = 1,272,970,256,728.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.