Finding the Fourth Proportional to 202,840,263,746.79, 304,319,283,175.02 and 81,766,336,083.09
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Solution
The fourth proportional to 202,840,263,746.79, 304,319,283,175.02 and 81,766,336,083.09 is: 122,673,242,111.91
Step by Step Solution
- Step 1: Write the proportion equation
202,840,263,746.79 : 304,319,283,175.02 = 81,766,336,083.09 : x - Step 2: Convert to fraction form
202,840,263,746.79/304,319,283,175.02 = 81,766,336,083.09/x - Step 3: Cross multiply
202,840,263,746.79x = 304,319,283,175.02 × 81,766,336,083.09 - Step 4: Simplify right side
202,840,263,746.79x = 24,883,072,784,653,719,961,600 - Step 5: Solve for x
x = 24,883,072,784,653,719,961,600/202,840,263,746.79 - Step 6: Final answer
x = 122,673,242,111.91
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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.