Finding the Fourth Proportional to 97,386,592,643.65, 146,079,888,965.48 and 97,386,592,643.65
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Solution
The fourth proportional to 97,386,592,643.65, 146,079,888,965.48 and 97,386,592,643.65 is: 146,079,888,965.48
Step by Step Solution
- Step 1: Write the proportion equation
97,386,592,643.65 : 146,079,888,965.48 = 97,386,592,643.65 : x - Step 2: Convert to fraction form
97,386,592,643.65/146,079,888,965.48 = 97,386,592,643.65/x - Step 3: Cross multiply
97,386,592,643.65x = 146,079,888,965.48 × 97,386,592,643.65 - Step 4: Simplify right side
97,386,592,643.65x = 14,226,222,640,110,822,752,256 - Step 5: Solve for x
x = 14,226,222,640,110,822,752,256/97,386,592,643.65 - Step 6: Final answer
x = 146,079,888,965.48
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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.