Finding the Fourth Proportional to 415,152,772,575.10, 622,666,238,752.42 and 112,988,921,676.70
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Solution
The fourth proportional to 415,152,772,575.10, 622,666,238,752.42 and 112,988,921,676.70 is: 169,466,258,034.92
Step by Step Solution
- Step 1: Write the proportion equation
415,152,772,575.10 : 622,666,238,752.42 = 112,988,921,676.70 : x - Step 2: Convert to fraction form
415,152,772,575.10/622,666,238,752.42 = 112,988,921,676.70/x - Step 3: Cross multiply
415,152,772,575.10x = 622,666,238,752.42 × 112,988,921,676.70 - Step 4: Simplify right side
415,152,772,575.10x = 70,354,386,881,122,567,979,008 - Step 5: Solve for x
x = 70,354,386,881,122,567,979,008/415,152,772,575.10 - Step 6: Final answer
x = 169,466,258,034.92
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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.