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Finding the Fourth Proportional to 569,497,817.42, 853,787,018.17 and 523,529,471.88

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Solution

The fourth proportional to 569,497,817.42, 853,787,018.17 and 523,529,471.88 is: 784,871,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,497,817.42 : 853,787,018.17 = 523,529,471.88 : x
  2. Step 2: Convert to fraction form
    569,497,817.42/853,787,018.17 = 523,529,471.88/x
  3. Step 3: Cross multiply
    569,497,817.42x = 853,787,018.17 × 523,529,471.88
  4. Step 4: Simplify right side
    569,497,817.42x = 446,982,666,721,194,496
  5. Step 5: Solve for x
    x = 446,982,666,721,194,496/569,497,817.42
  6. Step 6: Final answer
    x = 784,871,606.26

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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.