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Finding the Fourth Proportional to 135,832,464,014.40, 203,748,696,021.60 and 135,832,464,014.40

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Solution

The fourth proportional to 135,832,464,014.40, 203,748,696,021.60 and 135,832,464,014.40 is: 203,748,696,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,832,464,014.40 : 203,748,696,021.60 = 135,832,464,014.40 : x
  2. Step 2: Convert to fraction form
    135,832,464,014.40/203,748,696,021.60 = 135,832,464,014.40/x
  3. Step 3: Cross multiply
    135,832,464,014.40x = 203,748,696,021.60 × 135,832,464,014.40
  4. Step 4: Simplify right side
    135,832,464,014.40x = 27,675,687,420,334,906,015,744
  5. Step 5: Solve for x
    x = 27,675,687,420,334,906,015,744/135,832,464,014.40
  6. Step 6: Final answer
    x = 203,748,696,021.60

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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.