Finding the Fourth Proportional to 1,161,616,009,763, 1,742,427,283,505.90 and 445,539,455,809.12
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Solution
The fourth proportional to 1,161,616,009,763, 1,742,427,283,505.90 and 445,539,455,809.12 is: 668,310,437,490.07
Step by Step Solution
- Step 1: Write the proportion equation
1,161,616,009,763 : 1,742,427,283,505.90 = 445,539,455,809.12 : x - Step 2: Convert to fraction form
1,161,616,009,763/1,742,427,283,505.90 = 445,539,455,809.12/x - Step 3: Cross multiply
1,161,616,009,763x = 1,742,427,283,505.90 × 445,539,455,809.12 - Step 4: Simplify right side
1,161,616,009,763x = 776,320,103,680,181,926,887,424 - Step 5: Solve for x
x = 776,320,103,680,181,926,887,424/1,161,616,009,763 - Step 6: Final answer
x = 668,310,437,490.07
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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.