Finding the Fourth Proportional to 130,643,852,224.14, 195,986,440,756.76 and 46,795,727,191.50
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Solution
The fourth proportional to 130,643,852,224.14, 195,986,440,756.76 and 46,795,727,191.50 is: 70,200,991,923.84
Step by Step Solution
- Step 1: Write the proportion equation
130,643,852,224.14 : 195,986,440,756.76 = 46,795,727,191.50 : x - Step 2: Convert to fraction form
130,643,852,224.14/195,986,440,756.76 = 46,795,727,191.50/x - Step 3: Cross multiply
130,643,852,224.14x = 195,986,440,756.76 × 46,795,727,191.50 - Step 4: Simplify right side
130,643,852,224.14x = 9,171,328,014,886,418,513,920 - Step 5: Solve for x
x = 9,171,328,014,886,418,513,920/130,643,852,224.14 - Step 6: Final answer
x = 70,200,991,923.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.