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Finding the Fourth Proportional to 504,902,298.81, 757,819,006.44 and 256,082,186.61

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Solution

The fourth proportional to 504,902,298.81, 757,819,006.44 and 256,082,186.61 is: 384,359,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,902,298.81 : 757,819,006.44 = 256,082,186.61 : x
  2. Step 2: Convert to fraction form
    504,902,298.81/757,819,006.44 = 256,082,186.61/x
  3. Step 3: Cross multiply
    504,902,298.81x = 757,819,006.44 × 256,082,186.61
  4. Step 4: Simplify right side
    504,902,298.81x = 194,063,948,222,812,576
  5. Step 5: Solve for x
    x = 194,063,948,222,812,576/504,902,298.81
  6. Step 6: Final answer
    x = 384,359,407.11

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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.