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Finding the Fourth Proportional to 135,832,596,002.40, 203,748,894,003.60 and 135,832,596,002.40

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Solution

The fourth proportional to 135,832,596,002.40, 203,748,894,003.60 and 135,832,596,002.40 is: 203,748,894,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,832,596,002.40 : 203,748,894,003.60 = 135,832,596,002.40 : x
  2. Step 2: Convert to fraction form
    135,832,596,002.40/203,748,894,003.60 = 135,832,596,002.40/x
  3. Step 3: Cross multiply
    135,832,596,002.40x = 203,748,894,003.60 × 135,832,596,002.40
  4. Step 4: Simplify right side
    135,832,596,002.40x = 27,675,741,205,126,818,299,904
  5. Step 5: Solve for x
    x = 27,675,741,205,126,818,299,904/135,832,596,002.40
  6. Step 6: Final answer
    x = 203,748,894,003.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.