Finding the Fourth Proportional to 202,105,176,364.64, 278,894,093,924.72 and 110,636,032,377.44
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Solution
The fourth proportional to 202,105,176,364.64, 278,894,093,924.72 and 110,636,032,377.44 is: 152,671,676,007.26
Step by Step Solution
- Step 1: Write the proportion equation
202,105,176,364.64 : 278,894,093,924.72 = 110,636,032,377.44 : x - Step 2: Convert to fraction form
202,105,176,364.64/278,894,093,924.72 = 110,636,032,377.44/x - Step 3: Cross multiply
202,105,176,364.64x = 278,894,093,924.72 × 110,636,032,377.44 - Step 4: Simplify right side
202,105,176,364.64x = 30,855,736,005,332,110,934,016 - Step 5: Solve for x
x = 30,855,736,005,332,110,934,016/202,105,176,364.64 - Step 6: Final answer
x = 152,671,676,007.26
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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.