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Finding the Fourth Proportional to 10,420,882,238.40, 14,627,933,486.40 and 10,420,882,238.40

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Solution

The fourth proportional to 10,420,882,238.40, 14,627,933,486.40 and 10,420,882,238.40 is: 14,627,933,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420,882,238.40 : 14,627,933,486.40 = 10,420,882,238.40 : x
  2. Step 2: Convert to fraction form
    10,420,882,238.40/14,627,933,486.40 = 10,420,882,238.40/x
  3. Step 3: Cross multiply
    10,420,882,238.40x = 14,627,933,486.40 × 10,420,882,238.40
  4. Step 4: Simplify right side
    10,420,882,238.40x = 152,435,972,252,922,347,520
  5. Step 5: Solve for x
    x = 152,435,972,252,922,347,520/10,420,882,238.40
  6. Step 6: Final answer
    x = 14,627,933,486.40

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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.