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Finding the Fourth Proportional to 538,991,497.80, 806,975,592.30 and 523,874,953.80

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Solution

The fourth proportional to 538,991,497.80, 806,975,592.30 and 523,874,953.80 is: 784,343,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,991,497.80 : 806,975,592.30 = 523,874,953.80 : x
  2. Step 2: Convert to fraction form
    538,991,497.80/806,975,592.30 = 523,874,953.80/x
  3. Step 3: Cross multiply
    538,991,497.80x = 806,975,592.30 × 523,874,953.80
  4. Step 4: Simplify right side
    538,991,497.80x = 422,754,301,133,890,112
  5. Step 5: Solve for x
    x = 422,754,301,133,890,112/538,991,497.80
  6. Step 6: Final answer
    x = 784,343,172.13

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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.