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Finding the Fourth Proportional to 212,407,908.30, 318,611,862.45 and 212,407,908.30

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Solution

The fourth proportional to 212,407,908.30, 318,611,862.45 and 212,407,908.30 is: 318,611,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,407,908.30 : 318,611,862.45 = 212,407,908.30 : x
  2. Step 2: Convert to fraction form
    212,407,908.30/318,611,862.45 = 212,407,908.30/x
  3. Step 3: Cross multiply
    212,407,908.30x = 318,611,862.45 × 212,407,908.30
  4. Step 4: Simplify right side
    212,407,908.30x = 67,675,679,262,571,816
  5. Step 5: Solve for x
    x = 67,675,679,262,571,816/212,407,908.30
  6. Step 6: Final answer
    x = 318,611,862.45

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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.