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Finding the Fourth Proportional to 834,978,824.01, 1,152,239,209.52 and 463,724,770.23

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Solution

The fourth proportional to 834,978,824.01, 1,152,239,209.52 and 463,724,770.23 is: 639,922,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,978,824.01 : 1,152,239,209.52 = 463,724,770.23 : x
  2. Step 2: Convert to fraction form
    834,978,824.01/1,152,239,209.52 = 463,724,770.23/x
  3. Step 3: Cross multiply
    834,978,824.01x = 1,152,239,209.52 × 463,724,770.23
  4. Step 4: Simplify right side
    834,978,824.01x = 534,321,862,682,340,288
  5. Step 5: Solve for x
    x = 534,321,862,682,340,288/834,978,824.01
  6. Step 6: Final answer
    x = 639,922,651.11

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Why These Related Problems?

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