Finding the Fourth Proportional to 828,484,808,437.96, 1,143,143,218,609.40 and 462,622,718,455.54
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Solution
The fourth proportional to 828,484,808,437.96, 1,143,143,218,609.40 and 462,622,718,455.54 is: 638,326,759,876.49
Step by Step Solution
- Step 1: Write the proportion equation
828,484,808,437.96 : 1,143,143,218,609.40 = 462,622,718,455.54 : x - Step 2: Convert to fraction form
828,484,808,437.96/1,143,143,218,609.40 = 462,622,718,455.54/x - Step 3: Cross multiply
828,484,808,437.96x = 1,143,143,218,609.40 × 462,622,718,455.54 - Step 4: Simplify right side
828,484,808,437.96x = 528,844,023,377,096,224,014,336 - Step 5: Solve for x
x = 528,844,023,377,096,224,014,336/828,484,808,437.96 - Step 6: Final answer
x = 638,326,759,876.49
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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.