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Finding the Fourth Proportional to 946,731,424.40, 1,420,097,136.60 and 946,731,424.40

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Solution

The fourth proportional to 946,731,424.40, 1,420,097,136.60 and 946,731,424.40 is: 1,420,097,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,731,424.40 : 1,420,097,136.60 = 946,731,424.40 : x
  2. Step 2: Convert to fraction form
    946,731,424.40/1,420,097,136.60 = 946,731,424.40/x
  3. Step 3: Cross multiply
    946,731,424.40x = 1,420,097,136.60 × 946,731,424.40
  4. Step 4: Simplify right side
    946,731,424.40x = 1,344,450,584,919,679,232
  5. Step 5: Solve for x
    x = 1,344,450,584,919,679,232/946,731,424.40
  6. Step 6: Final answer
    x = 1,420,097,136.60

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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.