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Finding the Fourth Proportional to 14,487,380,203.80, 21,731,070,305.70 and 14,487,380,203.80

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Solution

The fourth proportional to 14,487,380,203.80, 21,731,070,305.70 and 14,487,380,203.80 is: 21,731,070,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487,380,203.80 : 21,731,070,305.70 = 14,487,380,203.80 : x
  2. Step 2: Convert to fraction form
    14,487,380,203.80/21,731,070,305.70 = 14,487,380,203.80/x
  3. Step 3: Cross multiply
    14,487,380,203.80x = 21,731,070,305.70 × 14,487,380,203.80
  4. Step 4: Simplify right side
    14,487,380,203.80x = 314,826,277,754,184,204,288
  5. Step 5: Solve for x
    x = 314,826,277,754,184,204,288/14,487,380,203.80
  6. Step 6: Final answer
    x = 21,731,070,305.70

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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.