Finding the Fourth Proportional to 1,032,457,657.99, 1,424,773,628.94 and 562,562,840.20
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Solution
The fourth proportional to 1,032,457,657.99, 1,424,773,628.94 and 562,562,840.20 is: 776,326,944.87
Step by Step Solution
- Step 1: Write the proportion equation
1,032,457,657.99 : 1,424,773,628.94 = 562,562,840.20 : x - Step 2: Convert to fraction form
1,032,457,657.99/1,424,773,628.94 = 562,562,840.20/x - Step 3: Cross multiply
1,032,457,657.99x = 1,424,773,628.94 × 562,562,840.20 - Step 4: Simplify right side
1,032,457,657.99x = 801,524,699,338,547,456 - Step 5: Solve for x
x = 801,524,699,338,547,456/1,032,457,657.99 - Step 6: Final answer
x = 776,326,944.87
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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.