Finding the Fourth Proportional to 37,600,146,700,346, 56,425,982,878,384 and 13,122,967,514,457
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Solution
The fourth proportional to 37,600,146,700,346, 56,425,982,878,384 and 13,122,967,514,457 is: 19,693,442,852,379.25
Step by Step Solution
- Step 1: Write the proportion equation
37,600,146,700,346 : 56,425,982,878,384 = 13,122,967,514,457 : x - Step 2: Convert to fraction form
37,600,146,700,346/56,425,982,878,384 = 13,122,967,514,457/x - Step 3: Cross multiply
37,600,146,700,346x = 56,425,982,878,384 × 13,122,967,514,457 - Step 4: Simplify right side
37,600,146,700,346x = 740,476,340,284,340,125,128,720,384 - Step 5: Solve for x
x = 740,476,340,284,340,125,128,720,384/37,600,146,700,346 - Step 6: Final answer
x = 19,693,442,852,379.25
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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.