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Finding the Fourth Proportional to 556,419,457,233.60, 834,629,185,850.40 and 556,419,457,233.60

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Solution

The fourth proportional to 556,419,457,233.60, 834,629,185,850.40 and 556,419,457,233.60 is: 834,629,185,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,419,457,233.60 : 834,629,185,850.40 = 556,419,457,233.60 : x
  2. Step 2: Convert to fraction form
    556,419,457,233.60/834,629,185,850.40 = 556,419,457,233.60/x
  3. Step 3: Cross multiply
    556,419,457,233.60x = 834,629,185,850.40 × 556,419,457,233.60
  4. Step 4: Simplify right side
    556,419,457,233.60x = 464,403,918,582,200,999,608,320
  5. Step 5: Solve for x
    x = 464,403,918,582,200,999,608,320/556,419,457,233.60
  6. Step 6: Final answer
    x = 834,629,185,850.40

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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.