Finding the Fourth Proportional to 338,125,153,374.72, 507,326,757,661.44 and 149,371,430,146.56
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Solution
The fourth proportional to 338,125,153,374.72, 507,326,757,661.44 and 149,371,430,146.56 is: 224,118,562,571.19
Step by Step Solution
- Step 1: Write the proportion equation
338,125,153,374.72 : 507,326,757,661.44 = 149,371,430,146.56 : x - Step 2: Convert to fraction form
338,125,153,374.72/507,326,757,661.44 = 149,371,430,146.56/x - Step 3: Cross multiply
338,125,153,374.72x = 507,326,757,661.44 × 149,371,430,146.56 - Step 4: Simplify right side
338,125,153,374.72x = 75,780,123,343,506,552,913,920 - Step 5: Solve for x
x = 75,780,123,343,506,552,913,920/338,125,153,374.72 - Step 6: Final answer
x = 224,118,562,571.19
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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.