Finding the Fourth Proportional to 5,026,842,282,526, 7,540,263,523,561.40 and 1,206,596,668,055.80
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Solution
The fourth proportional to 5,026,842,282,526, 7,540,263,523,561.40 and 1,206,596,668,055.80 is: 1,809,895,026,032.14
Step by Step Solution
- Step 1: Write the proportion equation
5,026,842,282,526 : 7,540,263,523,561.40 = 1,206,596,668,055.80 : x - Step 2: Convert to fraction form
5,026,842,282,526/7,540,263,523,561.40 = 1,206,596,668,055.80/x - Step 3: Cross multiply
5,026,842,282,526x = 7,540,263,523,561.40 × 1,206,596,668,055.80 - Step 4: Simplify right side
5,026,842,282,526x = 9,098,056,843,791,872,351,535,104 - Step 5: Solve for x
x = 9,098,056,843,791,872,351,535,104/5,026,842,282,526 - Step 6: Final answer
x = 1,809,895,026,032.14
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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.