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Finding the Fourth Proportional to 311,877,658.40, 467,312,602.80 and 196,656,000.80

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Solution

The fourth proportional to 311,877,658.40, 467,312,602.80 and 196,656,000.80 is: 294,666,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877,658.40 : 467,312,602.80 = 196,656,000.80 : x
  2. Step 2: Convert to fraction form
    311,877,658.40/467,312,602.80 = 196,656,000.80/x
  3. Step 3: Cross multiply
    311,877,658.40x = 467,312,602.80 × 196,656,000.80
  4. Step 4: Simplify right side
    311,877,658.40x = 91,899,827,590,086,896
  5. Step 5: Solve for x
    x = 91,899,827,590,086,896/311,877,658.40
  6. Step 6: Final answer
    x = 294,666,274.15

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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.