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Finding the Fourth Proportional to 409,698,915.80, 614,548,373.70 and 362,347,522.70

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Solution

The fourth proportional to 409,698,915.80, 614,548,373.70 and 362,347,522.70 is: 543,521,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698,915.80 : 614,548,373.70 = 362,347,522.70 : x
  2. Step 2: Convert to fraction form
    409,698,915.80/614,548,373.70 = 362,347,522.70/x
  3. Step 3: Cross multiply
    409,698,915.80x = 614,548,373.70 × 362,347,522.70
  4. Step 4: Simplify right side
    409,698,915.80x = 222,680,080,789,508,832
  5. Step 5: Solve for x
    x = 222,680,080,789,508,832/409,698,915.80
  6. Step 6: Final answer
    x = 543,521,284.05

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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.