Finding the Fourth Proportional to 97,501,724,160.14, 134,553,470,146.95 and 54,098,794,902.26
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Solution
The fourth proportional to 97,501,724,160.14, 134,553,470,146.95 and 54,098,794,902.26 is: 74,656,942,198.39
Step by Step Solution
- Step 1: Write the proportion equation
97,501,724,160.14 : 134,553,470,146.95 = 54,098,794,902.26 : x - Step 2: Convert to fraction form
97,501,724,160.14/134,553,470,146.95 = 54,098,794,902.26/x - Step 3: Cross multiply
97,501,724,160.14x = 134,553,470,146.95 × 54,098,794,902.26 - Step 4: Simplify right side
97,501,724,160.14x = 7,279,180,584,866,538,323,968 - Step 5: Solve for x
x = 7,279,180,584,866,538,323,968/97,501,724,160.14 - Step 6: Final answer
x = 74,656,942,198.39
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1.5x scale
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.