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Finding the Fourth Proportional to 484,453,847,809.80, 726,680,771,714.70 and 484,453,847,809.80

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Solution

The fourth proportional to 484,453,847,809.80, 726,680,771,714.70 and 484,453,847,809.80 is: 726,680,771,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,453,847,809.80 : 726,680,771,714.70 = 484,453,847,809.80 : x
  2. Step 2: Convert to fraction form
    484,453,847,809.80/726,680,771,714.70 = 484,453,847,809.80/x
  3. Step 3: Cross multiply
    484,453,847,809.80x = 726,680,771,714.70 × 484,453,847,809.80
  4. Step 4: Simplify right side
    484,453,847,809.80x = 352,043,295,986,581,258,633,216
  5. Step 5: Solve for x
    x = 352,043,295,986,581,258,633,216/484,453,847,809.80
  6. Step 6: Final answer
    x = 726,680,771,714.70

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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.