Finding the Fourth Proportional to 785,178,115,965.30, 1,176,117,808,338.40 and 498,188,448,004.01
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Solution
The fourth proportional to 785,178,115,965.30, 1,176,117,808,338.40 and 498,188,448,004.01 is: 746,236,164,370.99
Step by Step Solution
- Step 1: Write the proportion equation
785,178,115,965.30 : 1,176,117,808,338.40 = 498,188,448,004.01 : x - Step 2: Convert to fraction form
785,178,115,965.30/1,176,117,808,338.40 = 498,188,448,004.01/x - Step 3: Cross multiply
785,178,115,965.30x = 1,176,117,808,338.40 × 498,188,448,004.01 - Step 4: Simplify right side
785,178,115,965.30x = 585,928,305,605,985,146,241,024 - Step 5: Solve for x
x = 585,928,305,605,985,146,241,024/785,178,115,965.30 - Step 6: Final answer
x = 746,236,164,370.99
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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.