Finding the Fourth Proportional to 205,020,005,151.80, 282,927,508,703.42 and 122,620,763,268.02
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Solution
The fourth proportional to 205,020,005,151.80, 282,927,508,703.42 and 122,620,763,268.02 is: 169,216,594,454.02
Step by Step Solution
- Step 1: Write the proportion equation
205,020,005,151.80 : 282,927,508,703.42 = 122,620,763,268.02 : x - Step 2: Convert to fraction form
205,020,005,151.80/282,927,508,703.42 = 122,620,763,268.02/x - Step 3: Cross multiply
205,020,005,151.80x = 282,927,508,703.42 × 122,620,763,268.02 - Step 4: Simplify right side
205,020,005,151.80x = 34,692,787,066,732,730,646,528 - Step 5: Solve for x
x = 34,692,787,066,732,730,646,528/205,020,005,151.80 - Step 6: Final answer
x = 169,216,594,454.02
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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.