Finding the Fourth Proportional to 175,691,564,647.38, 242,437,417,643.41 and 98,532,536,841.18
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Solution
The fourth proportional to 175,691,564,647.38, 242,437,417,643.41 and 98,532,536,841.18 is: 135,965,399,554.46
Step by Step Solution
- Step 1: Write the proportion equation
175,691,564,647.38 : 242,437,417,643.41 = 98,532,536,841.18 : x - Step 2: Convert to fraction form
175,691,564,647.38/242,437,417,643.41 = 98,532,536,841.18/x - Step 3: Cross multiply
175,691,564,647.38x = 242,437,417,643.41 × 98,532,536,841.18 - Step 4: Simplify right side
175,691,564,647.38x = 23,887,973,785,629,838,278,656 - Step 5: Solve for x
x = 23,887,973,785,629,838,278,656/175,691,564,647.38 - Step 6: Final answer
x = 135,965,399,554.46
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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.