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Finding the Fourth Proportional to 51,018,449,825.40, 76,527,674,738.10 and 51,018,449,825.40

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Solution

The fourth proportional to 51,018,449,825.40, 76,527,674,738.10 and 51,018,449,825.40 is: 76,527,674,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018,449,825.40 : 76,527,674,738.10 = 51,018,449,825.40 : x
  2. Step 2: Convert to fraction form
    51,018,449,825.40/76,527,674,738.10 = 51,018,449,825.40/x
  3. Step 3: Cross multiply
    51,018,449,825.40x = 76,527,674,738.10 × 51,018,449,825.40
  4. Step 4: Simplify right side
    51,018,449,825.40x = 3,904,323,333,880,286,281,728
  5. Step 5: Solve for x
    x = 3,904,323,333,880,286,281,728/51,018,449,825.40
  6. Step 6: Final answer
    x = 76,527,674,738.10

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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.