Finding the Fourth Proportional to 1,570,356,231,934.20, 2,352,235,616,682.60 and 996,376,896,011.62
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Solution
The fourth proportional to 1,570,356,231,934.20, 2,352,235,616,682.60 and 996,376,896,011.62 is: 1,492,472,328,747.63
Step by Step Solution
- Step 1: Write the proportion equation
1,570,356,231,934.20 : 2,352,235,616,682.60 = 996,376,896,011.62 : x - Step 2: Convert to fraction form
1,570,356,231,934.20/2,352,235,616,682.60 = 996,376,896,011.62/x - Step 3: Cross multiply
1,570,356,231,934.20x = 2,352,235,616,682.60 × 996,376,896,011.62 - Step 4: Simplify right side
1,570,356,231,934.20x = 2,343,713,222,438,187,796,791,296 - Step 5: Solve for x
x = 2,343,713,222,438,187,796,791,296/1,570,356,231,934.20 - Step 6: Final answer
x = 1,492,472,328,747.63
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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.