Finding the Fourth Proportional to 1,566,672,779,117.10, 2,351,082,619,836.80 and 546,790,313,038.02
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Solution
The fourth proportional to 1,566,672,779,117.10, 2,351,082,619,836.80 and 546,790,313,038.02 is: 820,560,118,752.61
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,117.10 : 2,351,082,619,836.80 = 546,790,313,038.02 : x - Step 2: Convert to fraction form
1,566,672,779,117.10/2,351,082,619,836.80 = 546,790,313,038.02/x - Step 3: Cross multiply
1,566,672,779,117.10x = 2,351,082,619,836.80 × 546,790,313,038.02 - Step 4: Simplify right side
1,566,672,779,117.10x = 1,285,549,201,678,812,024,143,872 - Step 5: Solve for x
x = 1,285,549,201,678,812,024,143,872/1,566,672,779,117.10 - Step 6: Final answer
x = 820,560,118,752.61
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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.