Finding the Fourth Proportional to 227,029,832,735.90, 313,153,545,545.04 and 145,610,692,923.11
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Solution
The fourth proportional to 227,029,832,735.90, 313,153,545,545.04 and 145,610,692,923.11 is: 200,848,074,495.95
Step by Step Solution
- Step 1: Write the proportion equation
227,029,832,735.90 : 313,153,545,545.04 = 145,610,692,923.11 : x - Step 2: Convert to fraction form
227,029,832,735.90/313,153,545,545.04 = 145,610,692,923.11/x - Step 3: Cross multiply
227,029,832,735.90x = 313,153,545,545.04 × 145,610,692,923.11 - Step 4: Simplify right side
227,029,832,735.90x = 45,598,504,758,141,956,128,768 - Step 5: Solve for x
x = 45,598,504,758,141,956,128,768/227,029,832,735.90 - Step 6: Final answer
x = 200,848,074,495.95
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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.