Finding the Fourth Proportional to 35,758,640,164,309, 53,637,960,185,842 and 8,592,449,124,043
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Solution
The fourth proportional to 35,758,640,164,309, 53,637,960,185,842 and 8,592,449,124,043 is: 12,888,673,671,497.75
Step by Step Solution
- Step 1: Write the proportion equation
35,758,640,164,309 : 53,637,960,185,842 = 8,592,449,124,043 : x - Step 2: Convert to fraction form
35,758,640,164,309/53,637,960,185,842 = 8,592,449,124,043/x - Step 3: Cross multiply
35,758,640,164,309x = 53,637,960,185,842 × 8,592,449,124,043 - Step 4: Simplify right side
35,758,640,164,309x = 460,881,444,014,291,423,112,200,192 - Step 5: Solve for x
x = 460,881,444,014,291,423,112,200,192/35,758,640,164,309 - Step 6: Final answer
x = 12,888,673,671,497.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.