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Finding the Fourth Proportional to 524,188,596.28, 786,284,013.42 and 213,076,637.94

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Solution

The fourth proportional to 524,188,596.28, 786,284,013.42 and 213,076,637.94 is: 319,615,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,188,596.28 : 786,284,013.42 = 213,076,637.94 : x
  2. Step 2: Convert to fraction form
    524,188,596.28/786,284,013.42 = 213,076,637.94/x
  3. Step 3: Cross multiply
    524,188,596.28x = 786,284,013.42 × 213,076,637.94
  4. Step 4: Simplify right side
    524,188,596.28x = 167,538,754,045,503,424
  5. Step 5: Solve for x
    x = 167,538,754,045,503,424/524,188,596.28
  6. Step 6: Final answer
    x = 319,615,411.77

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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.