Finding the Fourth Proportional to 2,497,483,340,438, 3,745,498,249,629.60 and 967,318,357,450.02
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Solution
The fourth proportional to 2,497,483,340,438, 3,745,498,249,629.60 and 967,318,357,450.02 is: 1,450,696,049,098.86
Step by Step Solution
- Step 1: Write the proportion equation
2,497,483,340,438 : 3,745,498,249,629.60 = 967,318,357,450.02 : x - Step 2: Convert to fraction form
2,497,483,340,438/3,745,498,249,629.60 = 967,318,357,450.02/x - Step 3: Cross multiply
2,497,483,340,438x = 3,745,498,249,629.60 × 967,318,357,450.02 - Step 4: Simplify right side
2,497,483,340,438x = 3,623,089,214,663,629,991,837,696 - Step 5: Solve for x
x = 3,623,089,214,663,629,991,837,696/2,497,483,340,438 - Step 6: Final answer
x = 1,450,696,049,098.86
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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.