Finding the Fourth Proportional to 176,144,609,248.74, 264,108,782,246.36 and 68,453,137,222.56
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Solution
The fourth proportional to 176,144,609,248.74, 264,108,782,246.36 and 68,453,137,222.56 is: 102,637,683,832.06
Step by Step Solution
- Step 1: Write the proportion equation
176,144,609,248.74 : 264,108,782,246.36 = 68,453,137,222.56 : x - Step 2: Convert to fraction form
176,144,609,248.74/264,108,782,246.36 = 68,453,137,222.56/x - Step 3: Cross multiply
176,144,609,248.74x = 264,108,782,246.36 × 68,453,137,222.56 - Step 4: Simplify right side
176,144,609,248.74x = 18,079,074,712,793,296,928,768 - Step 5: Solve for x
x = 18,079,074,712,793,296,928,768/176,144,609,248.74 - Step 6: Final answer
x = 102,637,683,832.06
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1.5x scale
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.