Finding the Fourth Proportional to 1,563,945,060,248.10, 2,344,651,633,014.20 and 488,947,637,014.56
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Solution
The fourth proportional to 1,563,945,060,248.10, 2,344,651,633,014.20 and 488,947,637,014.56 is: 733,025,669,969.99
Step by Step Solution
- Step 1: Write the proportion equation
1,563,945,060,248.10 : 2,344,651,633,014.20 = 488,947,637,014.56 : x - Step 2: Convert to fraction form
1,563,945,060,248.10/2,344,651,633,014.20 = 488,947,637,014.56/x - Step 3: Cross multiply
1,563,945,060,248.10x = 2,344,651,633,014.20 × 488,947,637,014.56 - Step 4: Simplify right side
1,563,945,060,248.10x = 1,146,411,875,584,622,488,190,976 - Step 5: Solve for x
x = 1,146,411,875,584,622,488,190,976/1,563,945,060,248.10 - Step 6: Final answer
x = 733,025,669,969.99
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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.