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Finding the Fourth Proportional to 713,098,407,606.90, 1,069,647,611,410.20 and 713,098,407,606.90

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Solution

The fourth proportional to 713,098,407,606.90, 1,069,647,611,410.20 and 713,098,407,606.90 is: 1,069,647,611,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,098,407,606.90 : 1,069,647,611,410.20 = 713,098,407,606.90 : x
  2. Step 2: Convert to fraction form
    713,098,407,606.90/1,069,647,611,410.20 = 713,098,407,606.90/x
  3. Step 3: Cross multiply
    713,098,407,606.90x = 1,069,647,611,410.20 × 713,098,407,606.90
  4. Step 4: Simplify right side
    713,098,407,606.90x = 762,764,008,397,137,827,069,952
  5. Step 5: Solve for x
    x = 762,764,008,397,137,827,069,952/713,098,407,606.90
  6. Step 6: Final answer
    x = 1,069,647,611,410.20

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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.