Finding the Fourth Proportional to 42,977,224,749,316, 64,400,238,654,750 and 25,517,194,342,046
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Solution
The fourth proportional to 42,977,224,749,316, 64,400,238,654,750 and 25,517,194,342,046 is: 38,236,843,235,289.48
Step by Step Solution
- Step 1: Write the proportion equation
42,977,224,749,316 : 64,400,238,654,750 = 25,517,194,342,046 : x - Step 2: Convert to fraction form
42,977,224,749,316/64,400,238,654,750 = 25,517,194,342,046/x - Step 3: Cross multiply
42,977,224,749,316x = 64,400,238,654,750 × 25,517,194,342,046 - Step 4: Simplify right side
42,977,224,749,316x = 1,643,313,405,427,398,872,993,366,016 - Step 5: Solve for x
x = 1,643,313,405,427,398,872,993,366,016/42,977,224,749,316 - Step 6: Final answer
x = 38,236,843,235,289.48
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.