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Finding the Fourth Proportional to 552,590,661.29, 762,571,164.49 and 301,695,045.38

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Solution

The fourth proportional to 552,590,661.29, 762,571,164.49 and 301,695,045.38 is: 416,337,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,590,661.29 : 762,571,164.49 = 301,695,045.38 : x
  2. Step 2: Convert to fraction form
    552,590,661.29/762,571,164.49 = 301,695,045.38/x
  3. Step 3: Cross multiply
    552,590,661.29x = 762,571,164.49 × 301,695,045.38
  4. Step 4: Simplify right side
    552,590,661.29x = 230,063,942,076,289,984
  5. Step 5: Solve for x
    x = 230,063,942,076,289,984/552,590,661.29
  6. Step 6: Final answer
    x = 416,337,007.11

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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.