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Finding the Fourth Proportional to 311,877,672.90, 467,312,624.55 and 196,656,015.30

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Solution

The fourth proportional to 311,877,672.90, 467,312,624.55 and 196,656,015.30 is: 294,666,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877,672.90 : 467,312,624.55 = 196,656,015.30 : x
  2. Step 2: Convert to fraction form
    311,877,672.90/467,312,624.55 = 196,656,015.30/x
  3. Step 3: Cross multiply
    311,877,672.90x = 467,312,624.55 × 196,656,015.30
  4. Step 4: Simplify right side
    311,877,672.90x = 91,899,838,643,387,968
  5. Step 5: Solve for x
    x = 91,899,838,643,387,968/311,877,672.90
  6. Step 6: Final answer
    x = 294,666,295.89

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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.