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Finding the Fourth Proportional to 573,883,662,502, 791,954,747,749.10 and 313,461,537,757.68

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Solution

The fourth proportional to 573,883,662,502, 791,954,747,749.10 and 313,461,537,757.68 is: 432,574,351,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,883,662,502 : 791,954,747,749.10 = 313,461,537,757.68 : x
  2. Step 2: Convert to fraction form
    573,883,662,502/791,954,747,749.10 = 313,461,537,757.68/x
  3. Step 3: Cross multiply
    573,883,662,502x = 791,954,747,749.10 × 313,461,537,757.68
  4. Step 4: Simplify right side
    573,883,662,502x = 248,247,353,063,928,437,407,744
  5. Step 5: Solve for x
    x = 248,247,353,063,928,437,407,744/573,883,662,502
  6. Step 6: Final answer
    x = 432,574,351,361.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.