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Finding the Fourth Proportional to 865,379,440.84, 1,194,227,786.52 and 468,902,325.64

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Solution

The fourth proportional to 865,379,440.84, 1,194,227,786.52 and 468,902,325.64 is: 647,087,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,379,440.84 : 1,194,227,786.52 = 468,902,325.64 : x
  2. Step 2: Convert to fraction form
    865,379,440.84/1,194,227,786.52 = 468,902,325.64/x
  3. Step 3: Cross multiply
    865,379,440.84x = 1,194,227,786.52 × 468,902,325.64
  4. Step 4: Simplify right side
    865,379,440.84x = 559,976,186,443,137,408
  5. Step 5: Solve for x
    x = 559,976,186,443,137,408/865,379,440.84
  6. Step 6: Final answer
    x = 647,087,462.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.