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Finding the Fourth Proportional to 341,378,708.70, 512,068,063.05 and 341,378,708.70

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Solution

The fourth proportional to 341,378,708.70, 512,068,063.05 and 341,378,708.70 is: 512,068,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,378,708.70 : 512,068,063.05 = 341,378,708.70 : x
  2. Step 2: Convert to fraction form
    341,378,708.70/512,068,063.05 = 341,378,708.70/x
  3. Step 3: Cross multiply
    341,378,708.70x = 512,068,063.05 × 341,378,708.70
  4. Step 4: Simplify right side
    341,378,708.70x = 174,809,134,130,519,168
  5. Step 5: Solve for x
    x = 174,809,134,130,519,168/341,378,708.70
  6. Step 6: Final answer
    x = 512,068,063.05

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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.