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Finding the Fourth Proportional to 157,463,999.10, 236,195,998.65 and 157,463,999.10

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Solution

The fourth proportional to 157,463,999.10, 236,195,998.65 and 157,463,999.10 is: 236,195,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,463,999.10 : 236,195,998.65 = 157,463,999.10 : x
  2. Step 2: Convert to fraction form
    157,463,999.10/236,195,998.65 = 157,463,999.10/x
  3. Step 3: Cross multiply
    157,463,999.10x = 236,195,998.65 × 157,463,999.10
  4. Step 4: Simplify right side
    157,463,999.10x = 37,192,366,518,847,200
  5. Step 5: Solve for x
    x = 37,192,366,518,847,200/157,463,999.10
  6. Step 6: Final answer
    x = 236,195,998.65

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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.