Finding the Fourth Proportional to 2,497,483,340,456.80, 3,745,498,249,658.10 and 967,318,357,469.30
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Solution
The fourth proportional to 2,497,483,340,456.80, 3,745,498,249,658.10 and 967,318,357,469.30 is: 1,450,696,049,127.89
Step by Step Solution
- Step 1: Write the proportion equation
2,497,483,340,456.80 : 3,745,498,249,658.10 = 967,318,357,469.30 : x - Step 2: Convert to fraction form
2,497,483,340,456.80/3,745,498,249,658.10 = 967,318,357,469.30/x - Step 3: Cross multiply
2,497,483,340,456.80x = 3,745,498,249,658.10 × 967,318,357,469.30 - Step 4: Simplify right side
2,497,483,340,456.80x = 3,623,089,214,763,411,745,800,192 - Step 5: Solve for x
x = 3,623,089,214,763,411,745,800,192/2,497,483,340,456.80 - Step 6: Final answer
x = 1,450,696,049,127.89
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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.