Finding the Fourth Proportional to 614,208,097.20, 921,312,145.80 and 199,684,117.20
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Solution
The fourth proportional to 614,208,097.20, 921,312,145.80 and 199,684,117.20 is: 299,526,175.80
Step by Step Solution
- Step 1: Write the proportion equation
614,208,097.20 : 921,312,145.80 = 199,684,117.20 : x - Step 2: Convert to fraction form
614,208,097.20/921,312,145.80 = 199,684,117.20/x - Step 3: Cross multiply
614,208,097.20x = 921,312,145.80 × 199,684,117.20 - Step 4: Simplify right side
614,208,097.20x = 183,971,402,499,710,656 - Step 5: Solve for x
x = 183,971,402,499,710,656/614,208,097.20 - Step 6: Final answer
x = 299,526,175.80
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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.