Finding the Fourth Proportional to 368,281,632,838.23, 508,223,244,564.63 and 205,703,651,352.96
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Solution
The fourth proportional to 368,281,632,838.23, 508,223,244,564.63 and 205,703,651,352.96 is: 283,868,017,809.39
Step by Step Solution
- Step 1: Write the proportion equation
368,281,632,838.23 : 508,223,244,564.63 = 205,703,651,352.96 : x - Step 2: Convert to fraction form
368,281,632,838.23/508,223,244,564.63 = 205,703,651,352.96/x - Step 3: Cross multiply
368,281,632,838.23x = 508,223,244,564.63 × 205,703,651,352.96 - Step 4: Simplify right side
368,281,632,838.23x = 104,543,377,109,392,776,232,960 - Step 5: Solve for x
x = 104,543,377,109,392,776,232,960/368,281,632,838.23 - Step 6: Final answer
x = 283,868,017,809.39
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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.