Finding the Fourth Proportional to 105,787,766,363.14, 158,749,917,460.49 and 38,629,388,497.02
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Solution
The fourth proportional to 105,787,766,363.14, 158,749,917,460.49 and 38,629,388,497.02 is: 57,969,011,411.02
Step by Step Solution
- Step 1: Write the proportion equation
105,787,766,363.14 : 158,749,917,460.49 = 38,629,388,497.02 : x - Step 2: Convert to fraction form
105,787,766,363.14/158,749,917,460.49 = 38,629,388,497.02/x - Step 3: Cross multiply
105,787,766,363.14x = 158,749,917,460.49 × 38,629,388,497.02 - Step 4: Simplify right side
105,787,766,363.14x = 6,132,412,235,451,125,989,376 - Step 5: Solve for x
x = 6,132,412,235,451,125,989,376/105,787,766,363.14 - Step 6: Final answer
x = 57,969,011,411.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.