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Finding the Fourth Proportional to 551,668,973,243.75, 827,503,459,865.70 and 551,668,973,243.75

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Solution

The fourth proportional to 551,668,973,243.75, 827,503,459,865.70 and 551,668,973,243.75 is: 827,503,459,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,668,973,243.75 : 827,503,459,865.70 = 551,668,973,243.75 : x
  2. Step 2: Convert to fraction form
    551,668,973,243.75/827,503,459,865.70 = 551,668,973,243.75/x
  3. Step 3: Cross multiply
    551,668,973,243.75x = 827,503,459,865.70 × 551,668,973,243.75
  4. Step 4: Simplify right side
    551,668,973,243.75x = 456,507,984,059,761,399,169,024
  5. Step 5: Solve for x
    x = 456,507,984,059,761,399,169,024/551,668,973,243.75
  6. Step 6: Final answer
    x = 827,503,459,865.70

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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.