Finding the Fourth Proportional to 785,178,115,959.55, 1,176,117,808,330.10 and 498,188,447,998.26
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Solution
The fourth proportional to 785,178,115,959.55, 1,176,117,808,330.10 and 498,188,447,998.26 is: 746,236,164,362.58
Step by Step Solution
- Step 1: Write the proportion equation
785,178,115,959.55 : 1,176,117,808,330.10 = 498,188,447,998.26 : x - Step 2: Convert to fraction form
785,178,115,959.55/1,176,117,808,330.10 = 498,188,447,998.26/x - Step 3: Cross multiply
785,178,115,959.55x = 1,176,117,808,330.10 × 498,188,447,998.26 - Step 4: Simplify right side
785,178,115,959.55x = 585,928,305,595,087,606,251,520 - Step 5: Solve for x
x = 585,928,305,595,087,606,251,520/785,178,115,959.55 - Step 6: Final answer
x = 746,236,164,362.58
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Double scale
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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.