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Finding the Fourth Proportional to 733,958,755.80, 1,100,938,133.70 and 407,441,405.40

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Solution

The fourth proportional to 733,958,755.80, 1,100,938,133.70 and 407,441,405.40 is: 611,162,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,958,755.80 : 1,100,938,133.70 = 407,441,405.40 : x
  2. Step 2: Convert to fraction form
    733,958,755.80/1,100,938,133.70 = 407,441,405.40/x
  3. Step 3: Cross multiply
    733,958,755.80x = 1,100,938,133.70 × 407,441,405.40
  4. Step 4: Simplify right side
    733,958,755.80x = 448,567,780,453,181,120
  5. Step 5: Solve for x
    x = 448,567,780,453,181,120/733,958,755.80
  6. Step 6: Final answer
    x = 611,162,108.10

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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.