Finding the Fourth Proportional to 765,391,090,027.32, 1,056,240,128,018.70 and 413,424,020,291.58
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Solution
The fourth proportional to 765,391,090,027.32, 1,056,240,128,018.70 and 413,424,020,291.58 is: 570,525,376,906.59
Step by Step Solution
- Step 1: Write the proportion equation
765,391,090,027.32 : 1,056,240,128,018.70 = 413,424,020,291.58 : x - Step 2: Convert to fraction form
765,391,090,027.32/1,056,240,128,018.70 = 413,424,020,291.58/x - Step 3: Cross multiply
765,391,090,027.32x = 1,056,240,128,018.70 × 413,424,020,291.58 - Step 4: Simplify right side
765,391,090,027.32x = 436,675,040,118,784,095,420,416 - Step 5: Solve for x
x = 436,675,040,118,784,095,420,416/765,391,090,027.32 - Step 6: Final answer
x = 570,525,376,906.59
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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.