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Finding the Fourth Proportional to 978,179,000.88, 1,467,268,238.80 and 670,538,434.80

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Solution

The fourth proportional to 978,179,000.88, 1,467,268,238.80 and 670,538,434.80 is: 1,005,807,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,179,000.88 : 1,467,268,238.80 = 670,538,434.80 : x
  2. Step 2: Convert to fraction form
    978,179,000.88/1,467,268,238.80 = 670,538,434.80/x
  3. Step 3: Cross multiply
    978,179,000.88x = 1,467,268,238.80 × 670,538,434.80
  4. Step 4: Simplify right side
    978,179,000.88x = 983,859,748,276,704,512
  5. Step 5: Solve for x
    x = 983,859,748,276,704,512/978,179,000.88
  6. Step 6: Final answer
    x = 1,005,807,472.24

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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.