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Finding the Fourth Proportional to 7,174,649,686.40, 10,761,974,529.60 and 7,174,649,686.40

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Solution

The fourth proportional to 7,174,649,686.40, 10,761,974,529.60 and 7,174,649,686.40 is: 10,761,974,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,649,686.40 : 10,761,974,529.60 = 7,174,649,686.40 : x
  2. Step 2: Convert to fraction form
    7,174,649,686.40/10,761,974,529.60 = 7,174,649,686.40/x
  3. Step 3: Cross multiply
    7,174,649,686.40x = 10,761,974,529.60 × 7,174,649,686.40
  4. Step 4: Simplify right side
    7,174,649,686.40x = 77,213,397,183,839,420,416
  5. Step 5: Solve for x
    x = 77,213,397,183,839,420,416/7,174,649,686.40
  6. Step 6: Final answer
    x = 10,761,974,529.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.