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Finding the Fourth Proportional to 325,808,834,154.30, 488,713,251,231.45 and 325,808,834,154.30

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Solution

The fourth proportional to 325,808,834,154.30, 488,713,251,231.45 and 325,808,834,154.30 is: 488,713,251,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,808,834,154.30 : 488,713,251,231.45 = 325,808,834,154.30 : x
  2. Step 2: Convert to fraction form
    325,808,834,154.30/488,713,251,231.45 = 325,808,834,154.30/x
  3. Step 3: Cross multiply
    325,808,834,154.30x = 488,713,251,231.45 × 325,808,834,154.30
  4. Step 4: Simplify right side
    325,808,834,154.30x = 159,227,094,619,476,253,999,104
  5. Step 5: Solve for x
    x = 159,227,094,619,476,253,999,104/325,808,834,154.30
  6. Step 6: Final answer
    x = 488,713,251,231.45

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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.