Finding the Fourth Proportional to 1,453,494,440,195.60, 2,180,241,660,293.40 and 977,432,143,312.40
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Solution
The fourth proportional to 1,453,494,440,195.60, 2,180,241,660,293.40 and 977,432,143,312.40 is: 1,466,148,214,968.60
Step by Step Solution
- Step 1: Write the proportion equation
1,453,494,440,195.60 : 2,180,241,660,293.40 = 977,432,143,312.40 : x - Step 2: Convert to fraction form
1,453,494,440,195.60/2,180,241,660,293.40 = 977,432,143,312.40/x - Step 3: Cross multiply
1,453,494,440,195.60x = 2,180,241,660,293.40 × 977,432,143,312.40 - Step 4: Simplify right side
1,453,494,440,195.60x = 2,131,038,278,959,563,502,780,416 - Step 5: Solve for x
x = 2,131,038,278,959,563,502,780,416/1,453,494,440,195.60 - Step 6: Final answer
x = 1,466,148,214,968.60
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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.