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Finding the Fourth Proportional to 600,199,560.28, 828,362,031.00 and 345,832,199.59

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Solution

The fourth proportional to 600,199,560.28, 828,362,031.00 and 345,832,199.59 is: 477,298,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,199,560.28 : 828,362,031.00 = 345,832,199.59 : x
  2. Step 2: Convert to fraction form
    600,199,560.28/828,362,031.00 = 345,832,199.59/x
  3. Step 3: Cross multiply
    600,199,560.28x = 828,362,031.00 × 345,832,199.59
  4. Step 4: Simplify right side
    600,199,560.28x = 286,474,263,238,259,488
  5. Step 5: Solve for x
    x = 286,474,263,238,259,488/600,199,560.28
  6. Step 6: Final answer
    x = 477,298,355.74

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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.