Finding the Fourth Proportional to 9,141,362,424,025, 12,615,082,204,276 and 5,030,688,779,773
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Solution
The fourth proportional to 9,141,362,424,025, 12,615,082,204,276 and 5,030,688,779,773 is: 6,942,351,649,265.69
Step by Step Solution
- Step 1: Write the proportion equation
9,141,362,424,025 : 12,615,082,204,276 = 5,030,688,779,773 : x - Step 2: Convert to fraction form
9,141,362,424,025/12,615,082,204,276 = 5,030,688,779,773/x - Step 3: Cross multiply
9,141,362,424,025x = 12,615,082,204,276 × 5,030,688,779,773 - Step 4: Simplify right side
9,141,362,424,025x = 63,462,552,500,965,314,719,121,408 - Step 5: Solve for x
x = 63,462,552,500,965,314,719,121,408/9,141,362,424,025 - Step 6: Final answer
x = 6,942,351,649,265.69
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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.