Finding the Fourth Proportional to 492,092,370,156.68, 741,826,888,555.18 and 459,289,356,284.18
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Solution
The fourth proportional to 492,092,370,156.68, 741,826,888,555.18 and 459,289,356,284.18 is: 692,376,502,424.38
Step by Step Solution
- Step 1: Write the proportion equation
492,092,370,156.68 : 741,826,888,555.18 = 459,289,356,284.18 : x - Step 2: Convert to fraction form
492,092,370,156.68/741,826,888,555.18 = 459,289,356,284.18/x - Step 3: Cross multiply
492,092,370,156.68x = 741,826,888,555.18 × 459,289,356,284.18 - Step 4: Simplify right side
492,092,370,156.68x = 340,713,194,118,804,760,690,688 - Step 5: Solve for x
x = 340,713,194,118,804,760,690,688/492,092,370,156.68 - Step 6: Final answer
x = 692,376,502,424.38
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.