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Finding the Fourth Proportional to 325,059,642,002.05, 487,589,463,003.07 and 325,059,642,002.05

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Solution

The fourth proportional to 325,059,642,002.05, 487,589,463,003.07 and 325,059,642,002.05 is: 487,589,463,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,059,642,002.05 : 487,589,463,003.07 = 325,059,642,002.05 : x
  2. Step 2: Convert to fraction form
    325,059,642,002.05/487,589,463,003.07 = 325,059,642,002.05/x
  3. Step 3: Cross multiply
    325,059,642,002.05x = 487,589,463,003.07 × 325,059,642,002.05
  4. Step 4: Simplify right side
    325,059,642,002.05x = 158,495,656,287,749,726,535,680
  5. Step 5: Solve for x
    x = 158,495,656,287,749,726,535,680/325,059,642,002.05
  6. Step 6: Final answer
    x = 487,589,463,003.07

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Double scale
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1.5x scale

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.