Finding the Fourth Proportional to 927,148,032,152.80, 1,390,722,048,229.10 and 778,378,564,376.80
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Solution
The fourth proportional to 927,148,032,152.80, 1,390,722,048,229.10 and 778,378,564,376.80 is: 1,167,567,846,565.12
Step by Step Solution
- Step 1: Write the proportion equation
927,148,032,152.80 : 1,390,722,048,229.10 = 778,378,564,376.80 : x - Step 2: Convert to fraction form
927,148,032,152.80/1,390,722,048,229.10 = 778,378,564,376.80/x - Step 3: Cross multiply
927,148,032,152.80x = 1,390,722,048,229.10 × 778,378,564,376.80 - Step 4: Simplify right side
927,148,032,152.80x = 1,082,508,231,347,729,783,062,528 - Step 5: Solve for x
x = 1,082,508,231,347,729,783,062,528/927,148,032,152.80 - Step 6: Final answer
x = 1,167,567,846,565.12
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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.