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Finding the Fourth Proportional to 51,074,346,325.60, 76,611,519,488.40 and 51,074,346,325.60

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Solution

The fourth proportional to 51,074,346,325.60, 76,611,519,488.40 and 51,074,346,325.60 is: 76,611,519,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074,346,325.60 : 76,611,519,488.40 = 51,074,346,325.60 : x
  2. Step 2: Convert to fraction form
    51,074,346,325.60/76,611,519,488.40 = 51,074,346,325.60/x
  3. Step 3: Cross multiply
    51,074,346,325.60x = 76,611,519,488.40 × 51,074,346,325.60
  4. Step 4: Simplify right side
    51,074,346,325.60x = 3,912,883,278,880,995,016,704
  5. Step 5: Solve for x
    x = 3,912,883,278,880,995,016,704/51,074,346,325.60
  6. Step 6: Final answer
    x = 76,611,519,488.40

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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.