Finding the Fourth Proportional to 99,784,125,831.60, 149,676,190,476.51 and 24,236,767,447.23
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Solution
The fourth proportional to 99,784,125,831.60, 149,676,190,476.51 and 24,236,767,447.23 is: 36,355,151,590.83
Step by Step Solution
- Step 1: Write the proportion equation
99,784,125,831.60 : 149,676,190,476.51 = 24,236,767,447.23 : x - Step 2: Convert to fraction form
99,784,125,831.60/149,676,190,476.51 = 24,236,767,447.23/x - Step 3: Cross multiply
99,784,125,831.60x = 149,676,190,476.51 × 24,236,767,447.23 - Step 4: Simplify right side
99,784,125,831.60x = 3,627,667,020,966,474,547,200 - Step 5: Solve for x
x = 3,627,667,020,966,474,547,200/99,784,125,831.60 - Step 6: Final answer
x = 36,355,151,590.83
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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.