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Finding the Fourth Proportional to 382,740,232.80, 573,718,438.80 and 188,352,674.40

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Solution

The fourth proportional to 382,740,232.80, 573,718,438.80 and 188,352,674.40 is: 282,336,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,740,232.80 : 573,718,438.80 = 188,352,674.40 : x
  2. Step 2: Convert to fraction form
    382,740,232.80/573,718,438.80 = 188,352,674.40/x
  3. Step 3: Cross multiply
    382,740,232.80x = 573,718,438.80 × 188,352,674.40
  4. Step 4: Simplify right side
    382,740,232.80x = 108,061,402,300,572,720
  5. Step 5: Solve for x
    x = 108,061,402,300,572,720/382,740,232.80
  6. Step 6: Final answer
    x = 282,336,146.14

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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.