Finding the Fourth Proportional to 202,105,176,367.64, 278,894,093,928.86 and 110,636,032,380.44
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Solution
The fourth proportional to 202,105,176,367.64, 278,894,093,928.86 and 110,636,032,380.44 is: 152,671,676,011.40
Step by Step Solution
- Step 1: Write the proportion equation
202,105,176,367.64 : 278,894,093,928.86 = 110,636,032,380.44 : x - Step 2: Convert to fraction form
202,105,176,367.64/278,894,093,928.86 = 110,636,032,380.44/x - Step 3: Cross multiply
202,105,176,367.64x = 278,894,093,928.86 × 110,636,032,380.44 - Step 4: Simplify right side
202,105,176,367.64x = 30,855,736,006,626,829,664,256 - Step 5: Solve for x
x = 30,855,736,006,626,829,664,256/202,105,176,367.64 - Step 6: Final answer
x = 152,671,676,011.40
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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.