Finding the Fourth Proportional to 1,019,662,030,578.60, 1,407,768,759,040 and 649,074,624,153
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Solution
The fourth proportional to 1,019,662,030,578.60, 1,407,768,759,040 and 649,074,624,153 is: 896,127,295,874.42
Step by Step Solution
- Step 1: Write the proportion equation
1,019,662,030,578.60 : 1,407,768,759,040 = 649,074,624,153 : x - Step 2: Convert to fraction form
1,019,662,030,578.60/1,407,768,759,040 = 649,074,624,153/x - Step 3: Cross multiply
1,019,662,030,578.60x = 1,407,768,759,040 × 649,074,624,153 - Step 4: Simplify right side
1,019,662,030,578.60x = 913,746,978,168,223,259,688,960 - Step 5: Solve for x
x = 913,746,978,168,223,259,688,960/1,019,662,030,578.60 - Step 6: Final answer
x = 896,127,295,874.42
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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.