Finding the Fourth Proportional to 9,610,950,963,401, 13,264,249,360,978 and 5,709,037,881,152
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Solution
The fourth proportional to 9,610,950,963,401, 13,264,249,360,978 and 5,709,037,881,152 is: 7,879,147,688,427.35
Step by Step Solution
- Step 1: Write the proportion equation
9,610,950,963,401 : 13,264,249,360,978 = 5,709,037,881,152 : x - Step 2: Convert to fraction form
9,610,950,963,401/13,264,249,360,978 = 5,709,037,881,152/x - Step 3: Cross multiply
9,610,950,963,401x = 13,264,249,360,978 × 5,709,037,881,152 - Step 4: Simplify right side
9,610,950,963,401x = 75,726,102,066,869,607,635,877,888 - Step 5: Solve for x
x = 75,726,102,066,869,607,635,877,888/9,610,950,963,401 - Step 6: Final answer
x = 7,879,147,688,427.35
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.