Finding the Fourth Proportional to 575,299,364,852.49, 863,140,694,746.58 and 192,881,281,171.67
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Solution
The fourth proportional to 575,299,364,852.49, 863,140,694,746.58 and 192,881,281,171.67 is: 289,386,175,624.95
Step by Step Solution
- Step 1: Write the proportion equation
575,299,364,852.49 : 863,140,694,746.58 = 192,881,281,171.67 : x - Step 2: Convert to fraction form
575,299,364,852.49/863,140,694,746.58 = 192,881,281,171.67/x - Step 3: Cross multiply
575,299,364,852.49x = 863,140,694,746.58 × 192,881,281,171.67 - Step 4: Simplify right side
575,299,364,852.49x = 166,483,683,034,125,679,198,208 - Step 5: Solve for x
x = 166,483,683,034,125,679,198,208/575,299,364,852.49 - Step 6: Final answer
x = 289,386,175,624.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.