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Finding the Fourth Proportional to 521,520,984,003.46, 782,281,476,005.16 and 521,520,984,003.46

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Solution

The fourth proportional to 521,520,984,003.46, 782,281,476,005.16 and 521,520,984,003.46 is: 782,281,476,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,984,003.46 : 782,281,476,005.16 = 521,520,984,003.46 : x
  2. Step 2: Convert to fraction form
    521,520,984,003.46/782,281,476,005.16 = 521,520,984,003.46/x
  3. Step 3: Cross multiply
    521,520,984,003.46x = 782,281,476,005.16 × 521,520,984,003.46
  4. Step 4: Simplify right side
    521,520,984,003.46x = 407,976,205,133,890,159,902,720
  5. Step 5: Solve for x
    x = 407,976,205,133,890,159,902,720/521,520,984,003.46
  6. Step 6: Final answer
    x = 782,281,476,005.16

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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.