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Finding the Fourth Proportional to 30,606,336,340.80, 45,909,504,511.20 and 30,606,336,340.80

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Solution

The fourth proportional to 30,606,336,340.80, 45,909,504,511.20 and 30,606,336,340.80 is: 45,909,504,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,606,336,340.80 : 45,909,504,511.20 = 30,606,336,340.80 : x
  2. Step 2: Convert to fraction form
    30,606,336,340.80/45,909,504,511.20 = 30,606,336,340.80/x
  3. Step 3: Cross multiply
    30,606,336,340.80x = 45,909,504,511.20 × 30,606,336,340.80
  4. Step 4: Simplify right side
    30,606,336,340.80x = 1,405,121,736,309,261,991,936
  5. Step 5: Solve for x
    x = 1,405,121,736,309,261,991,936/30,606,336,340.80
  6. Step 6: Final answer
    x = 45,909,504,511.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.