Finding the Fourth Proportional to 416,247,223,400.07, 624,249,708,262.23 and 161,219,726,235.42
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Solution
The fourth proportional to 416,247,223,400.07, 624,249,708,262.23 and 161,219,726,235.42 is: 241,782,674,840.45
Step by Step Solution
- Step 1: Write the proportion equation
416,247,223,400.07 : 624,249,708,262.23 = 161,219,726,235.42 : x - Step 2: Convert to fraction form
416,247,223,400.07/624,249,708,262.23 = 161,219,726,235.42/x - Step 3: Cross multiply
416,247,223,400.07x = 624,249,708,262.23 × 161,219,726,235.42 - Step 4: Simplify right side
416,247,223,400.07x = 100,641,367,068,577,533,788,160 - Step 5: Solve for x
x = 100,641,367,068,577,533,788,160/416,247,223,400.07 - Step 6: Final answer
x = 241,782,674,840.45
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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.