Finding the Fourth Proportional to 916,080,748,545.60, 1,264,248,846,288.20 and 504,549,145,412.80
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Solution
The fourth proportional to 916,080,748,545.60, 1,264,248,846,288.20 and 504,549,145,412.80 is: 696,309,442,149.66
Step by Step Solution
- Step 1: Write the proportion equation
916,080,748,545.60 : 1,264,248,846,288.20 = 504,549,145,412.80 : x - Step 2: Convert to fraction form
916,080,748,545.60/1,264,248,846,288.20 = 504,549,145,412.80/x - Step 3: Cross multiply
916,080,748,545.60x = 1,264,248,846,288.20 × 504,549,145,412.80 - Step 4: Simplify right side
916,080,748,545.60x = 637,875,674,983,829,610,692,608 - Step 5: Solve for x
x = 637,875,674,983,829,610,692,608/916,080,748,545.60 - Step 6: Final answer
x = 696,309,442,149.66
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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.