Finding the Fourth Proportional to 292,449,255,660.78, 438,703,940,742.30 and 101,220,980,429.28
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Solution
The fourth proportional to 292,449,255,660.78, 438,703,940,742.30 and 101,220,980,429.28 is: 151,841,873,899.77
Step by Step Solution
- Step 1: Write the proportion equation
292,449,255,660.78 : 438,703,940,742.30 = 101,220,980,429.28 : x - Step 2: Convert to fraction form
292,449,255,660.78/438,703,940,742.30 = 101,220,980,429.28/x - Step 3: Cross multiply
292,449,255,660.78x = 438,703,940,742.30 × 101,220,980,429.28 - Step 4: Simplify right side
292,449,255,660.78x = 44,406,043,000,124,362,194,944 - Step 5: Solve for x
x = 44,406,043,000,124,362,194,944/292,449,255,660.78 - Step 6: Final answer
x = 151,841,873,899.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.