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Finding the Fourth Proportional to 600,199,590.94, 828,362,073.40 and 345,832,230.15

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Solution

The fourth proportional to 600,199,590.94, 828,362,073.40 and 345,832,230.15 is: 477,298,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,199,590.94 : 828,362,073.40 = 345,832,230.15 : x
  2. Step 2: Convert to fraction form
    600,199,590.94/828,362,073.40 = 345,832,230.15/x
  3. Step 3: Cross multiply
    600,199,590.94x = 828,362,073.40 × 345,832,230.15
  4. Step 4: Simplify right side
    600,199,590.94x = 286,474,303,213,870,816
  5. Step 5: Solve for x
    x = 286,474,303,213,870,816/600,199,590.94
  6. Step 6: Final answer
    x = 477,298,397.97

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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.