Finding the Fourth Proportional to 102,514,896,422.05, 153,772,344,633.08 and 102,514,896,422.05
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Solution
The fourth proportional to 102,514,896,422.05, 153,772,344,633.08 and 102,514,896,422.05 is: 153,772,344,633.08
Step by Step Solution
- Step 1: Write the proportion equation
102,514,896,422.05 : 153,772,344,633.08 = 102,514,896,422.05 : x - Step 2: Convert to fraction form
102,514,896,422.05/153,772,344,633.08 = 102,514,896,422.05/x - Step 3: Cross multiply
102,514,896,422.05x = 153,772,344,633.08 × 102,514,896,422.05 - Step 4: Simplify right side
102,514,896,422.05x = 15,763,955,982,635,972,427,776 - Step 5: Solve for x
x = 15,763,955,982,635,972,427,776/102,514,896,422.05 - Step 6: Final answer
x = 153,772,344,633.08
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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.