Finding the Fourth Proportional to 1,509,692,619,324.90, 2,264,856,970,276.70 and 489,730,511,847.20
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Solution
The fourth proportional to 1,509,692,619,324.90, 2,264,856,970,276.70 and 489,730,511,847.20 is: 734,698,937,463.38
Step by Step Solution
- Step 1: Write the proportion equation
1,509,692,619,324.90 : 2,264,856,970,276.70 = 489,730,511,847.20 : x - Step 2: Convert to fraction form
1,509,692,619,324.90/2,264,856,970,276.70 = 489,730,511,847.20/x - Step 3: Cross multiply
1,509,692,619,324.90x = 2,264,856,970,276.70 × 489,730,511,847.20 - Step 4: Simplify right side
1,509,692,619,324.90x = 1,109,169,563,314,307,104,505,856 - Step 5: Solve for x
x = 1,109,169,563,314,307,104,505,856/1,509,692,619,324.90 - Step 6: Final answer
x = 734,698,937,463.38
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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.