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Finding the Fourth Proportional to 1,662,863,921.84, 2,493,978,002.21 and 498,332,412.88

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Solution

The fourth proportional to 1,662,863,921.84, 2,493,978,002.21 and 498,332,412.88 is: 747,403,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,863,921.84 : 2,493,978,002.21 = 498,332,412.88 : x
  2. Step 2: Convert to fraction form
    1,662,863,921.84/2,493,978,002.21 = 498,332,412.88/x
  3. Step 3: Cross multiply
    1,662,863,921.84x = 2,493,978,002.21 × 498,332,412.88
  4. Step 4: Simplify right side
    1,662,863,921.84x = 1,242,830,075,505,962,240
  5. Step 5: Solve for x
    x = 1,242,830,075,505,962,240/1,662,863,921.84
  6. Step 6: Final answer
    x = 747,403,355.85

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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.