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Finding the Fourth Proportional to 212,407,852.80, 318,611,779.20 and 212,407,852.80

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Solution

The fourth proportional to 212,407,852.80, 318,611,779.20 and 212,407,852.80 is: 318,611,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,407,852.80 : 318,611,779.20 = 212,407,852.80 : x
  2. Step 2: Convert to fraction form
    212,407,852.80/318,611,779.20 = 212,407,852.80/x
  3. Step 3: Cross multiply
    212,407,852.80x = 318,611,779.20 × 212,407,852.80
  4. Step 4: Simplify right side
    212,407,852.80x = 67,675,643,896,659,704
  5. Step 5: Solve for x
    x = 67,675,643,896,659,704/212,407,852.80
  6. Step 6: Final answer
    x = 318,611,779.20

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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.