Finding the Fourth Proportional to 1,387,435,778,194.80, 2,081,145,273,181.80 and 754,749,063,121.18
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Solution
The fourth proportional to 1,387,435,778,194.80, 2,081,145,273,181.80 and 754,749,063,121.18 is: 1,132,119,028,382.52
Step by Step Solution
- Step 1: Write the proportion equation
1,387,435,778,194.80 : 2,081,145,273,181.80 = 754,749,063,121.18 : x - Step 2: Convert to fraction form
1,387,435,778,194.80/2,081,145,273,181.80 = 754,749,063,121.18/x - Step 3: Cross multiply
1,387,435,778,194.80x = 2,081,145,273,181.80 × 754,749,063,121.18 - Step 4: Simplify right side
1,387,435,778,194.80x = 1,570,742,445,153,035,957,043,200 - Step 5: Solve for x
x = 1,570,742,445,153,035,957,043,200/1,387,435,778,194.80 - Step 6: Final answer
x = 1,132,119,028,382.52
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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.