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Finding the Fourth Proportional to 1,073,504,803.10, 1,607,989,723.05 and 1,073,504,803.10

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Solution

The fourth proportional to 1,073,504,803.10, 1,607,989,723.05 and 1,073,504,803.10 is: 1,607,989,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,504,803.10 : 1,607,989,723.05 = 1,073,504,803.10 : x
  2. Step 2: Convert to fraction form
    1,073,504,803.10/1,607,989,723.05 = 1,073,504,803.10/x
  3. Step 3: Cross multiply
    1,073,504,803.10x = 1,607,989,723.05 × 1,073,504,803.10
  4. Step 4: Simplify right side
    1,073,504,803.10x = 1,726,184,691,029,613,824
  5. Step 5: Solve for x
    x = 1,726,184,691,029,613,824/1,073,504,803.10
  6. Step 6: Final answer
    x = 1,607,989,723.05

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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.