Finding the Fourth Proportional to 488,907,951,474.84, 733,361,754,603.70 and 130,750,616,475.26
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Solution
The fourth proportional to 488,907,951,474.84, 733,361,754,603.70 and 130,750,616,475.26 is: 196,125,878,551.49
Step by Step Solution
- Step 1: Write the proportion equation
488,907,951,474.84 : 733,361,754,603.70 = 130,750,616,475.26 : x - Step 2: Convert to fraction form
488,907,951,474.84/733,361,754,603.70 = 130,750,616,475.26/x - Step 3: Cross multiply
488,907,951,474.84x = 733,361,754,603.70 × 130,750,616,475.26 - Step 4: Simplify right side
488,907,951,474.84x = 95,887,501,513,812,116,242,432 - Step 5: Solve for x
x = 95,887,501,513,812,116,242,432/488,907,951,474.84 - Step 6: Final answer
x = 196,125,878,551.49
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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.