Finding the Fourth Proportional to 1,274,888,496,365.40, 1,759,341,853,670 and 696,824,680,314.14
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Solution
The fourth proportional to 1,274,888,496,365.40, 1,759,341,853,670 and 696,824,680,314.14 is: 961,615,724,231.55
Step by Step Solution
- Step 1: Write the proportion equation
1,274,888,496,365.40 : 1,759,341,853,670 = 696,824,680,314.14 : x - Step 2: Convert to fraction form
1,274,888,496,365.40/1,759,341,853,670 = 696,824,680,314.14/x - Step 3: Cross multiply
1,274,888,496,365.40x = 1,759,341,853,670 × 696,824,680,314.14 - Step 4: Simplify right side
1,274,888,496,365.40x = 1,225,952,824,746,884,236,050,432 - Step 5: Solve for x
x = 1,225,952,824,746,884,236,050,432/1,274,888,496,365.40 - Step 6: Final answer
x = 961,615,724,231.55
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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.