Finding the Fourth Proportional to 135,151,706,342.96, 186,509,539,447.37 and 73,352,276,952.08
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Solution
The fourth proportional to 135,151,706,342.96, 186,509,539,447.37 and 73,352,276,952.08 is: 101,226,242,434.79
Step by Step Solution
- Step 1: Write the proportion equation
135,151,706,342.96 : 186,509,539,447.37 = 73,352,276,952.08 : x - Step 2: Convert to fraction form
135,151,706,342.96/186,509,539,447.37 = 73,352,276,952.08/x - Step 3: Cross multiply
135,151,706,342.96x = 186,509,539,447.37 × 73,352,276,952.08 - Step 4: Simplify right side
135,151,706,342.96x = 13,680,899,391,748,374,003,712 - Step 5: Solve for x
x = 13,680,899,391,748,374,003,712/135,151,706,342.96 - Step 6: Final answer
x = 101,226,242,434.79
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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.