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Finding the Fourth Proportional to 653,511,665.34, 901,878,072.12 and 367,493,208.93

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Solution

The fourth proportional to 653,511,665.34, 901,878,072.12 and 367,493,208.93 is: 507,158,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,511,665.34 : 901,878,072.12 = 367,493,208.93 : x
  2. Step 2: Convert to fraction form
    653,511,665.34/901,878,072.12 = 367,493,208.93/x
  3. Step 3: Cross multiply
    653,511,665.34x = 901,878,072.12 × 367,493,208.93
  4. Step 4: Simplify right side
    653,511,665.34x = 331,434,066,786,980,800
  5. Step 5: Solve for x
    x = 331,434,066,786,980,800/653,511,665.34
  6. Step 6: Final answer
    x = 507,158,608.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.