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Finding the Fourth Proportional to 488,678,706.02, 732,036,617.22 and 225,995,059.10

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Solution

The fourth proportional to 488,678,706.02, 732,036,617.22 and 225,995,059.10 is: 338,538,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,678,706.02 : 732,036,617.22 = 225,995,059.10 : x
  2. Step 2: Convert to fraction form
    488,678,706.02/732,036,617.22 = 225,995,059.10/x
  3. Step 3: Cross multiply
    488,678,706.02x = 732,036,617.22 × 225,995,059.10
  4. Step 4: Simplify right side
    488,678,706.02x = 165,436,658,571,997,984
  5. Step 5: Solve for x
    x = 165,436,658,571,997,984/488,678,706.02
  6. Step 6: Final answer
    x = 338,538,709.66

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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.