Finding the Fourth Proportional to 11,383,533,883,346, 15,709,276,759,022 and 6,511,624,379,047.90
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Solution
The fourth proportional to 11,383,533,883,346, 15,709,276,759,022 and 6,511,624,379,047.90 is: 8,986,041,643,088.69
Step by Step Solution
- Step 1: Write the proportion equation
11,383,533,883,346 : 15,709,276,759,022 = 6,511,624,379,047.90 : x - Step 2: Convert to fraction form
11,383,533,883,346/15,709,276,759,022 = 6,511,624,379,047.90/x - Step 3: Cross multiply
11,383,533,883,346x = 15,709,276,759,022 × 6,511,624,379,047.90 - Step 4: Simplify right side
11,383,533,883,346x = 102,292,909,521,258,235,805,302,784 - Step 5: Solve for x
x = 102,292,909,521,258,235,805,302,784/11,383,533,883,346 - Step 6: Final answer
x = 8,986,041,643,088.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.