Finding the Fourth Proportional to 134,369,564,336.48, 185,435,632,186.16 and 77,276,919,409.12
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Solution
The fourth proportional to 134,369,564,336.48, 185,435,632,186.16 and 77,276,919,409.12 is: 106,645,388,595.18
Step by Step Solution
- Step 1: Write the proportion equation
134,369,564,336.48 : 185,435,632,186.16 = 77,276,919,409.12 : x - Step 2: Convert to fraction form
134,369,564,336.48/185,435,632,186.16 = 77,276,919,409.12/x - Step 3: Cross multiply
134,369,564,336.48x = 185,435,632,186.16 × 77,276,919,409.12 - Step 4: Simplify right side
134,369,564,336.48x = 14,329,894,404,029,105,045,504 - Step 5: Solve for x
x = 14,329,894,404,029,105,045,504/134,369,564,336.48 - Step 6: Final answer
x = 106,645,388,595.18
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1.5x scale
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.