Finding the Fourth Proportional to 2,296,970,699.24, 3,169,832,478.36 and 1,306,896,116.24
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Solution
The fourth proportional to 2,296,970,699.24, 3,169,832,478.36 and 1,306,896,116.24 is: 1,803,523,987.69
Step by Step Solution
- Step 1: Write the proportion equation
2,296,970,699.24 : 3,169,832,478.36 = 1,306,896,116.24 : x - Step 2: Convert to fraction form
2,296,970,699.24/3,169,832,478.36 = 1,306,896,116.24/x - Step 3: Cross multiply
2,296,970,699.24x = 3,169,832,478.36 × 1,306,896,116.24 - Step 4: Simplify right side
2,296,970,699.24x = 4,142,641,755,100,098,048 - Step 5: Solve for x
x = 4,142,641,755,100,098,048/2,296,970,699.24 - Step 6: Final answer
x = 1,803,523,987.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.