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Finding the Fourth Proportional to 524,188,593.27, 786,284,008.92 and 213,076,634.94

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Solution

The fourth proportional to 524,188,593.27, 786,284,008.92 and 213,076,634.94 is: 319,615,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,188,593.27 : 786,284,008.92 = 213,076,634.94 : x
  2. Step 2: Convert to fraction form
    524,188,593.27/786,284,008.92 = 213,076,634.94/x
  3. Step 3: Cross multiply
    524,188,593.27x = 786,284,008.92 × 213,076,634.94
  4. Step 4: Simplify right side
    524,188,593.27x = 167,538,750,727,806,528
  5. Step 5: Solve for x
    x = 167,538,750,727,806,528/524,188,593.27
  6. Step 6: Final answer
    x = 319,615,407.28

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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.