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Finding the Fourth Proportional to 512,139,980.70, 768,211,152.03 and 295,208,126.46

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Solution

The fourth proportional to 512,139,980.70, 768,211,152.03 and 295,208,126.46 is: 442,812,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,139,980.70 : 768,211,152.03 = 295,208,126.46 : x
  2. Step 2: Convert to fraction form
    512,139,980.70/768,211,152.03 = 295,208,126.46/x
  3. Step 3: Cross multiply
    512,139,980.70x = 768,211,152.03 × 295,208,126.46
  4. Step 4: Simplify right side
    512,139,980.70x = 226,782,174,916,454,496
  5. Step 5: Solve for x
    x = 226,782,174,916,454,496/512,139,980.70
  6. Step 6: Final answer
    x = 442,812,870.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.