Finding the Fourth Proportional to 1,598,295,217,878.10, 2,397,583,766,076.80 and 450,937,484,164.20
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Solution
The fourth proportional to 1,598,295,217,878.10, 2,397,583,766,076.80 and 450,937,484,164.20 is: 676,445,990,361.50
Step by Step Solution
- Step 1: Write the proportion equation
1,598,295,217,878.10 : 2,397,583,766,076.80 = 450,937,484,164.20 : x - Step 2: Convert to fraction form
1,598,295,217,878.10/2,397,583,766,076.80 = 450,937,484,164.20/x - Step 3: Cross multiply
1,598,295,217,878.10x = 2,397,583,766,076.80 × 450,937,484,164.20 - Step 4: Simplify right side
1,598,295,217,878.10x = 1,081,160,391,547,599,953,330,176 - Step 5: Solve for x
x = 1,081,160,391,547,599,953,330,176/1,598,295,217,878.10 - Step 6: Final answer
x = 676,445,990,361.50
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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.