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Finding the Fourth Proportional to 949,157,998.40, 1,329,728,190.40 and 949,157,998.40

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Solution

The fourth proportional to 949,157,998.40, 1,329,728,190.40 and 949,157,998.40 is: 1,329,728,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,157,998.40 : 1,329,728,190.40 = 949,157,998.40 : x
  2. Step 2: Convert to fraction form
    949,157,998.40/1,329,728,190.40 = 949,157,998.40/x
  3. Step 3: Cross multiply
    949,157,998.40x = 1,329,728,190.40 × 949,157,998.40
  4. Step 4: Simplify right side
    949,157,998.40x = 1,262,122,147,616,118,272
  5. Step 5: Solve for x
    x = 1,262,122,147,616,118,272/949,157,998.40
  6. Step 6: Final answer
    x = 1,329,728,190.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.