Finding the Fourth Proportional to 44,164,425,071,656, 66,246,637,612,044 and 14,758,643,956,709
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Solution
The fourth proportional to 44,164,425,071,656, 66,246,637,612,044 and 14,758,643,956,709 is: 22,137,965,936,587.34
Step by Step Solution
- Step 1: Write the proportion equation
44,164,425,071,656 : 66,246,637,612,044 = 14,758,643,956,709 : x - Step 2: Convert to fraction form
44,164,425,071,656/66,246,637,612,044 = 14,758,643,956,709/x - Step 3: Cross multiply
44,164,425,071,656x = 66,246,637,612,044 × 14,758,643,956,709 - Step 4: Simplify right side
44,164,425,071,656x = 977,710,537,845,284,314,407,763,968 - Step 5: Solve for x
x = 977,710,537,845,284,314,407,763,968/44,164,425,071,656 - Step 6: Final answer
x = 22,137,965,936,587.34
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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.