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Finding the Fourth Proportional to 513,969,392.16, 770,954,068.80 and 150,463,748.16

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Solution

The fourth proportional to 513,969,392.16, 770,954,068.80 and 150,463,748.16 is: 225,695,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,969,392.16 : 770,954,068.80 = 150,463,748.16 : x
  2. Step 2: Convert to fraction form
    513,969,392.16/770,954,068.80 = 150,463,748.16/x
  3. Step 3: Cross multiply
    513,969,392.16x = 770,954,068.80 × 150,463,748.16
  4. Step 4: Simplify right side
    513,969,392.16x = 116,000,638,850,850,496
  5. Step 5: Solve for x
    x = 116,000,638,850,850,496/513,969,392.16
  6. Step 6: Final answer
    x = 225,695,616.55

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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.