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Finding the Fourth Proportional to 489,643,233.60, 734,866,383.60 and 485,816,858.40

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Solution

The fourth proportional to 489,643,233.60, 734,866,383.60 and 485,816,858.40 is: 729,123,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,643,233.60 : 734,866,383.60 = 485,816,858.40 : x
  2. Step 2: Convert to fraction form
    489,643,233.60/734,866,383.60 = 485,816,858.40/x
  3. Step 3: Cross multiply
    489,643,233.60x = 734,866,383.60 × 485,816,858.40
  4. Step 4: Simplify right side
    489,643,233.60x = 357,010,477,824,321,280
  5. Step 5: Solve for x
    x = 357,010,477,824,321,280/489,643,233.60
  6. Step 6: Final answer
    x = 729,123,682.97

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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.