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Finding the Fourth Proportional to 504,468,728.94, 757,040,835.06 and 209,364,094.74

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Solution

The fourth proportional to 504,468,728.94, 757,040,835.06 and 209,364,094.74 is: 314,186,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,468,728.94 : 757,040,835.06 = 209,364,094.74 : x
  2. Step 2: Convert to fraction form
    504,468,728.94/757,040,835.06 = 209,364,094.74/x
  3. Step 3: Cross multiply
    504,468,728.94x = 757,040,835.06 × 209,364,094.74
  4. Step 4: Simplify right side
    504,468,728.94x = 158,497,169,113,550,560
  5. Step 5: Solve for x
    x = 158,497,169,113,550,560/504,468,728.94
  6. Step 6: Final answer
    x = 314,186,311.30

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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.