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Finding the Fourth Proportional to 214,367,789,783.80, 321,551,684,675.70 and 214,367,789,783.80

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Solution

The fourth proportional to 214,367,789,783.80, 321,551,684,675.70 and 214,367,789,783.80 is: 321,551,684,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,367,789,783.80 : 321,551,684,675.70 = 214,367,789,783.80 : x
  2. Step 2: Convert to fraction form
    214,367,789,783.80/321,551,684,675.70 = 214,367,789,783.80/x
  3. Step 3: Cross multiply
    214,367,789,783.80x = 321,551,684,675.70 × 214,367,789,783.80
  4. Step 4: Simplify right side
    214,367,789,783.80x = 68,930,323,945,187,199,418,368
  5. Step 5: Solve for x
    x = 68,930,323,945,187,199,418,368/214,367,789,783.80
  6. Step 6: Final answer
    x = 321,551,684,675.70

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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.