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Finding the Fourth Proportional to 334,168,720,811.80, 501,253,081,217.70 and 334,168,720,811.80

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Solution

The fourth proportional to 334,168,720,811.80, 501,253,081,217.70 and 334,168,720,811.80 is: 501,253,081,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,168,720,811.80 : 501,253,081,217.70 = 334,168,720,811.80 : x
  2. Step 2: Convert to fraction form
    334,168,720,811.80/501,253,081,217.70 = 334,168,720,811.80/x
  3. Step 3: Cross multiply
    334,168,720,811.80x = 501,253,081,217.70 × 334,168,720,811.80
  4. Step 4: Simplify right side
    334,168,720,811.80x = 167,503,100,953,492,111,491,072
  5. Step 5: Solve for x
    x = 167,503,100,953,492,111,491,072/334,168,720,811.80
  6. Step 6: Final answer
    x = 501,253,081,217.70

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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.