Finding the Fourth Proportional to 40,917,728,095,768, 61,376,592,852,740 and 9,938,589,448,292.60
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Solution
The fourth proportional to 40,917,728,095,768, 61,376,592,852,740 and 9,938,589,448,292.60 is: 14,907,884,344,670.71
Step by Step Solution
- Step 1: Write the proportion equation
40,917,728,095,768 : 61,376,592,852,740 = 9,938,589,448,292.60 : x - Step 2: Convert to fraction form
40,917,728,095,768/61,376,592,852,740 = 9,938,589,448,292.60/x - Step 3: Cross multiply
40,917,728,095,768x = 61,376,592,852,740 × 9,938,589,448,292.60 - Step 4: Simplify right side
40,917,728,095,768x = 609,996,758,098,392,736,681,951,232 - Step 5: Solve for x
x = 609,996,758,098,392,736,681,951,232/40,917,728,095,768 - Step 6: Final answer
x = 14,907,884,344,670.71
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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.