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Finding the Fourth Proportional to 1,437,781,276,762, 1,984,200,531,847 and 796,212,946,978

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Solution

The fourth proportional to 1,437,781,276,762, 1,984,200,531,847 and 796,212,946,978 is: 1,098,808,405,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,781,276,762 : 1,984,200,531,847 = 796,212,946,978 : x
  2. Step 2: Convert to fraction form
    1,437,781,276,762/1,984,200,531,847 = 796,212,946,978/x
  3. Step 3: Cross multiply
    1,437,781,276,762x = 1,984,200,531,847 × 796,212,946,978
  4. Step 4: Simplify right side
    1,437,781,276,762x = 1,579,846,152,857,214,685,020,160
  5. Step 5: Solve for x
    x = 1,579,846,152,857,214,685,020,160/1,437,781,276,762
  6. Step 6: Final answer
    x = 1,098,808,405,973.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.