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Finding the Fourth Proportional to 273,643,148.80, 409,892,409.60 and 128,200,844.80

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Solution

The fourth proportional to 273,643,148.80, 409,892,409.60 and 128,200,844.80 is: 192,033,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,643,148.80 : 409,892,409.60 = 128,200,844.80 : x
  2. Step 2: Convert to fraction form
    273,643,148.80/409,892,409.60 = 128,200,844.80/x
  3. Step 3: Cross multiply
    273,643,148.80x = 409,892,409.60 × 128,200,844.80
  4. Step 4: Simplify right side
    273,643,148.80x = 52,548,553,187,827,632
  5. Step 5: Solve for x
    x = 52,548,553,187,827,632/273,643,148.80
  6. Step 6: Final answer
    x = 192,033,140.31

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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.