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Finding the Fourth Proportional to 336,806,415.40, 505,209,623.10 and 311,612,175.40

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Solution

The fourth proportional to 336,806,415.40, 505,209,623.10 and 311,612,175.40 is: 467,418,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,806,415.40 : 505,209,623.10 = 311,612,175.40 : x
  2. Step 2: Convert to fraction form
    336,806,415.40/505,209,623.10 = 311,612,175.40/x
  3. Step 3: Cross multiply
    336,806,415.40x = 505,209,623.10 × 311,612,175.40
  4. Step 4: Simplify right side
    336,806,415.40x = 157,429,469,687,205,088
  5. Step 5: Solve for x
    x = 157,429,469,687,205,088/336,806,415.40
  6. Step 6: Final answer
    x = 467,418,263.10

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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.