Finding the Fourth Proportional to 5,187,563,931,393.90, 7,779,779,265,488.70 and 1,560,352,275,010
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Solution
The fourth proportional to 5,187,563,931,393.90, 7,779,779,265,488.70 and 1,560,352,275,010 is: 2,340,057,189,949.49
Step by Step Solution
- Step 1: Write the proportion equation
5,187,563,931,393.90 : 7,779,779,265,488.70 = 1,560,352,275,010 : x - Step 2: Convert to fraction form
5,187,563,931,393.90/7,779,779,265,488.70 = 1,560,352,275,010/x - Step 3: Cross multiply
5,187,563,931,393.90x = 7,779,779,265,488.70 × 1,560,352,275,010 - Step 4: Simplify right side
5,187,563,931,393.90x = 12,139,196,275,980,920,757,944,320 - Step 5: Solve for x
x = 12,139,196,275,980,920,757,944,320/5,187,563,931,393.90 - Step 6: Final answer
x = 2,340,057,189,949.49
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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.