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Finding the Fourth Proportional to 1,490,914,865,809.80, 2,236,372,298,714.80 and 1,490,914,865,809.80

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Solution

The fourth proportional to 1,490,914,865,809.80, 2,236,372,298,714.80 and 1,490,914,865,809.80 is: 2,236,372,298,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,914,865,809.80 : 2,236,372,298,714.80 = 1,490,914,865,809.80 : x
  2. Step 2: Convert to fraction form
    1,490,914,865,809.80/2,236,372,298,714.80 = 1,490,914,865,809.80/x
  3. Step 3: Cross multiply
    1,490,914,865,809.80x = 2,236,372,298,714.80 × 1,490,914,865,809.80
  4. Step 4: Simplify right side
    1,490,914,865,809.80x = 3,334,240,705,639,129,584,500,736
  5. Step 5: Solve for x
    x = 3,334,240,705,639,129,584,500,736/1,490,914,865,809.80
  6. Step 6: Final answer
    x = 2,236,372,298,714.80

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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.