Finding the Fourth Proportional to 307,544,688,004.65, 461,317,032,006.99 and 307,544,688,004.65
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Solution
The fourth proportional to 307,544,688,004.65, 461,317,032,006.99 and 307,544,688,004.65 is: 461,317,032,006.99
Step by Step Solution
- Step 1: Write the proportion equation
307,544,688,004.65 : 461,317,032,006.99 = 307,544,688,004.65 : x - Step 2: Convert to fraction form
307,544,688,004.65/461,317,032,006.99 = 307,544,688,004.65/x - Step 3: Cross multiply
307,544,688,004.65x = 461,317,032,006.99 × 307,544,688,004.65 - Step 4: Simplify right side
307,544,688,004.65x = 141,875,602,679,820,883,853,312 - Step 5: Solve for x
x = 141,875,602,679,820,883,853,312/307,544,688,004.65 - Step 6: Final answer
x = 461,317,032,006.99
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1.5x scale
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.