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Finding the Fourth Proportional to 995,410,009.20, 1,492,915,948.20 and 477,839,449.20

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Solution

The fourth proportional to 995,410,009.20, 1,492,915,948.20 and 477,839,449.20 is: 716,663,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,410,009.20 : 1,492,915,948.20 = 477,839,449.20 : x
  2. Step 2: Convert to fraction form
    995,410,009.20/1,492,915,948.20 = 477,839,449.20/x
  3. Step 3: Cross multiply
    995,410,009.20x = 1,492,915,948.20 × 477,839,449.20
  4. Step 4: Simplify right side
    995,410,009.20x = 713,374,134,389,783,680
  5. Step 5: Solve for x
    x = 713,374,134,389,783,680/995,410,009.20
  6. Step 6: Final answer
    x = 716,663,613.78

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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.