Finding the Fourth Proportional to 249,730,181,692.12, 344,626,778,321.58 and 135,544,796,775.64
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Solution
The fourth proportional to 249,730,181,692.12, 344,626,778,321.58 and 135,544,796,775.64 is: 187,051,346,034.86
Step by Step Solution
- Step 1: Write the proportion equation
249,730,181,692.12 : 344,626,778,321.58 = 135,544,796,775.64 : x - Step 2: Convert to fraction form
249,730,181,692.12/344,626,778,321.58 = 135,544,796,775.64/x - Step 3: Cross multiply
249,730,181,692.12x = 344,626,778,321.58 × 135,544,796,775.64 - Step 4: Simplify right side
249,730,181,692.12x = 46,712,366,631,042,102,067,200 - Step 5: Solve for x
x = 46,712,366,631,042,102,067,200/249,730,181,692.12 - Step 6: Final answer
x = 187,051,346,034.86
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.