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Finding the Fourth Proportional to 16,520,262,380.40, 23,145,566,600.40 and 16,520,262,380.40

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Solution

The fourth proportional to 16,520,262,380.40, 23,145,566,600.40 and 16,520,262,380.40 is: 23,145,566,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520,262,380.40 : 23,145,566,600.40 = 16,520,262,380.40 : x
  2. Step 2: Convert to fraction form
    16,520,262,380.40/23,145,566,600.40 = 16,520,262,380.40/x
  3. Step 3: Cross multiply
    16,520,262,380.40x = 23,145,566,600.40 × 16,520,262,380.40
  4. Step 4: Simplify right side
    16,520,262,380.40x = 382,370,833,181,630,857,216
  5. Step 5: Solve for x
    x = 382,370,833,181,630,857,216/16,520,262,380.40
  6. Step 6: Final answer
    x = 23,145,566,600.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.