Finding the Fourth Proportional to 106,153,417,257.08, 159,230,721,142.20 and 35,407,933,875.68
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Solution
The fourth proportional to 106,153,417,257.08, 159,230,721,142.20 and 35,407,933,875.68 is: 53,112,099,363.94
Step by Step Solution
- Step 1: Write the proportion equation
106,153,417,257.08 : 159,230,721,142.20 = 35,407,933,875.68 : x - Step 2: Convert to fraction form
106,153,417,257.08/159,230,721,142.20 = 35,407,933,875.68/x - Step 3: Cross multiply
106,153,417,257.08x = 159,230,721,142.20 × 35,407,933,875.68 - Step 4: Simplify right side
106,153,417,257.08x = 5,638,030,845,179,859,042,304 - Step 5: Solve for x
x = 5,638,030,845,179,859,042,304/106,153,417,257.08 - Step 6: Final answer
x = 53,112,099,363.94
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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.