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Finding the Fourth Proportional to 851,522,428.60, 1,277,283,642.90 and 851,522,428.60

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Solution

The fourth proportional to 851,522,428.60, 1,277,283,642.90 and 851,522,428.60 is: 1,277,283,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,522,428.60 : 1,277,283,642.90 = 851,522,428.60 : x
  2. Step 2: Convert to fraction form
    851,522,428.60/1,277,283,642.90 = 851,522,428.60/x
  3. Step 3: Cross multiply
    851,522,428.60x = 1,277,283,642.90 × 851,522,428.60
  4. Step 4: Simplify right side
    851,522,428.60x = 1,087,635,669,613,263,232
  5. Step 5: Solve for x
    x = 1,087,635,669,613,263,232/851,522,428.60
  6. Step 6: Final answer
    x = 1,277,283,642.90

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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.