Finding the Fourth Proportional to 826,970,772,575.62, 1,240,458,486,012 and 317,185,803,989.40
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Solution
The fourth proportional to 826,970,772,575.62, 1,240,458,486,012 and 317,185,803,989.40 is: 475,779,598,565.21
Step by Step Solution
- Step 1: Write the proportion equation
826,970,772,575.62 : 1,240,458,486,012 = 317,185,803,989.40 : x - Step 2: Convert to fraction form
826,970,772,575.62/1,240,458,486,012 = 317,185,803,989.40/x - Step 3: Cross multiply
826,970,772,575.62x = 1,240,458,486,012 × 317,185,803,989.40 - Step 4: Simplify right side
826,970,772,575.62x = 393,455,822,201,190,164,201,472 - Step 5: Solve for x
x = 393,455,822,201,190,164,201,472/826,970,772,575.62 - Step 6: Final answer
x = 475,779,598,565.21
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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.