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Finding the Fourth Proportional to 3,296,529,043,899.50, 4,944,793,565,849.10 and 3,296,529,043,899.50

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Solution

The fourth proportional to 3,296,529,043,899.50, 4,944,793,565,849.10 and 3,296,529,043,899.50 is: 4,944,793,565,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,529,043,899.50 : 4,944,793,565,849.10 = 3,296,529,043,899.50 : x
  2. Step 2: Convert to fraction form
    3,296,529,043,899.50/4,944,793,565,849.10 = 3,296,529,043,899.50/x
  3. Step 3: Cross multiply
    3,296,529,043,899.50x = 4,944,793,565,849.10 × 3,296,529,043,899.50
  4. Step 4: Simplify right side
    3,296,529,043,899.50x = 16,300,655,605,908,932,562,780,160
  5. Step 5: Solve for x
    x = 16,300,655,605,908,932,562,780,160/3,296,529,043,899.50
  6. Step 6: Final answer
    x = 4,944,793,565,849.10

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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.