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Finding the Fourth Proportional to 613,349,471.56, 919,486,730.22 and 230,665,762.12

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Solution

The fourth proportional to 613,349,471.56, 919,486,730.22 and 230,665,762.12 is: 345,796,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,349,471.56 : 919,486,730.22 = 230,665,762.12 : x
  2. Step 2: Convert to fraction form
    613,349,471.56/919,486,730.22 = 230,665,762.12/x
  3. Step 3: Cross multiply
    613,349,471.56x = 919,486,730.22 × 230,665,762.12
  4. Step 4: Simplify right side
    613,349,471.56x = 212,094,107,385,423,136
  5. Step 5: Solve for x
    x = 212,094,107,385,423,136/613,349,471.56
  6. Step 6: Final answer
    x = 345,796,511.16

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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.