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Finding the Fourth Proportional to 597,888,928.80, 896,975,110.80 and 306,800,978.40

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Solution

The fourth proportional to 597,888,928.80, 896,975,110.80 and 306,800,978.40 is: 460,274,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,888,928.80 : 896,975,110.80 = 306,800,978.40 : x
  2. Step 2: Convert to fraction form
    597,888,928.80/896,975,110.80 = 306,800,978.40/x
  3. Step 3: Cross multiply
    597,888,928.80x = 896,975,110.80 × 306,800,978.40
  4. Step 4: Simplify right side
    597,888,928.80x = 275,192,841,593,888,384
  5. Step 5: Solve for x
    x = 275,192,841,593,888,384/597,888,928.80
  6. Step 6: Final answer
    x = 460,274,188.63

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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.