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Finding the Fourth Proportional to 599,616,019.40, 899,424,029.10 and 463,399,161.80

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Solution

The fourth proportional to 599,616,019.40, 899,424,029.10 and 463,399,161.80 is: 695,098,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,616,019.40 : 899,424,029.10 = 463,399,161.80 : x
  2. Step 2: Convert to fraction form
    599,616,019.40/899,424,029.10 = 463,399,161.80/x
  3. Step 3: Cross multiply
    599,616,019.40x = 899,424,029.10 × 463,399,161.80
  4. Step 4: Simplify right side
    599,616,019.40x = 416,792,341,187,718,848
  5. Step 5: Solve for x
    x = 416,792,341,187,718,848/599,616,019.40
  6. Step 6: Final answer
    x = 695,098,742.70

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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.