Finding the Fourth Proportional to 785,178,115,964.40, 1,176,117,808,337.20 and 498,188,448,003.08
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Solution
The fourth proportional to 785,178,115,964.40, 1,176,117,808,337.20 and 498,188,448,003.08 is: 746,236,164,369.69
Step by Step Solution
- Step 1: Write the proportion equation
785,178,115,964.40 : 1,176,117,808,337.20 = 498,188,448,003.08 : x - Step 2: Convert to fraction form
785,178,115,964.40/1,176,117,808,337.20 = 498,188,448,003.08/x - Step 3: Cross multiply
785,178,115,964.40x = 1,176,117,808,337.20 × 498,188,448,003.08 - Step 4: Simplify right side
785,178,115,964.40x = 585,928,305,604,293,600,215,040 - Step 5: Solve for x
x = 585,928,305,604,293,600,215,040/785,178,115,964.40 - Step 6: Final answer
x = 746,236,164,369.69
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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.