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Finding the Fourth Proportional to 867,199,991.98, 1,196,737,137.63 and 470,722,724.14

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Solution

The fourth proportional to 867,199,991.98, 1,196,737,137.63 and 470,722,724.14 is: 649,597,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,199,991.98 : 1,196,737,137.63 = 470,722,724.14 : x
  2. Step 2: Convert to fraction form
    867,199,991.98/1,196,737,137.63 = 470,722,724.14/x
  3. Step 3: Cross multiply
    867,199,991.98x = 1,196,737,137.63 × 470,722,724.14
  4. Step 4: Simplify right side
    867,199,991.98x = 563,331,365,504,699,712
  5. Step 5: Solve for x
    x = 563,331,365,504,699,712/867,199,991.98
  6. Step 6: Final answer
    x = 649,597,982.83

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