Finding the Fourth Proportional to 1,610,236,523,409.60, 2,415,338,867,960.50 and 737,722,820,536.14
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Solution
The fourth proportional to 1,610,236,523,409.60, 2,415,338,867,960.50 and 737,722,820,536.14 is: 1,106,576,938,429.77
Step by Step Solution
- Step 1: Write the proportion equation
1,610,236,523,409.60 : 2,415,338,867,960.50 = 737,722,820,536.14 : x - Step 2: Convert to fraction form
1,610,236,523,409.60/2,415,338,867,960.50 = 737,722,820,536.14/x - Step 3: Cross multiply
1,610,236,523,409.60x = 2,415,338,867,960.50 × 737,722,820,536.14 - Step 4: Simplify right side
1,610,236,523,409.60x = 1,781,850,602,222,387,434,881,024 - Step 5: Solve for x
x = 1,781,850,602,222,387,434,881,024/1,610,236,523,409.60 - Step 6: Final answer
x = 1,106,576,938,429.77
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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.