Finding the Fourth Proportional to 697,828,140,090, 963,002,835,178.56 and 377,043,975,198
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Solution
The fourth proportional to 697,828,140,090, 963,002,835,178.56 and 377,043,975,198 is: 520,320,686,775.17
Step by Step Solution
- Step 1: Write the proportion equation
697,828,140,090 : 963,002,835,178.56 = 377,043,975,198 : x - Step 2: Convert to fraction form
697,828,140,090/963,002,835,178.56 = 377,043,975,198/x - Step 3: Cross multiply
697,828,140,090x = 963,002,835,178.56 × 377,043,975,198 - Step 4: Simplify right side
697,828,140,090x = 363,094,417,102,668,660,998,144 - Step 5: Solve for x
x = 363,094,417,102,668,660,998,144/697,828,140,090 - Step 6: Final answer
x = 520,320,686,775.17
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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.