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Finding the Fourth Proportional to 211,611,208.80, 317,024,902.80 and 120,464,047.20

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Solution

The fourth proportional to 211,611,208.80, 317,024,902.80 and 120,464,047.20 is: 180,472,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,611,208.80 : 317,024,902.80 = 120,464,047.20 : x
  2. Step 2: Convert to fraction form
    211,611,208.80/317,024,902.80 = 120,464,047.20/x
  3. Step 3: Cross multiply
    211,611,208.80x = 317,024,902.80 × 120,464,047.20
  4. Step 4: Simplify right side
    211,611,208.80x = 38,190,102,854,474,616
  5. Step 5: Solve for x
    x = 38,190,102,854,474,616/211,611,208.80
  6. Step 6: Final answer
    x = 180,472,967.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.