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Finding the Fourth Proportional to 103,611,462,458.40, 155,417,193,687.60 and 103,611,462,458.40

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Solution

The fourth proportional to 103,611,462,458.40, 155,417,193,687.60 and 103,611,462,458.40 is: 155,417,193,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611,462,458.40 : 155,417,193,687.60 = 103,611,462,458.40 : x
  2. Step 2: Convert to fraction form
    103,611,462,458.40/155,417,193,687.60 = 103,611,462,458.40/x
  3. Step 3: Cross multiply
    103,611,462,458.40x = 155,417,193,687.60 × 103,611,462,458.40
  4. Step 4: Simplify right side
    103,611,462,458.40x = 16,103,002,729,152,648,314,880
  5. Step 5: Solve for x
    x = 16,103,002,729,152,648,314,880/103,611,462,458.40
  6. Step 6: Final answer
    x = 155,417,193,687.60

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1.5x scale

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.