Finding the Fourth Proportional to 1,024,159,663.13, 1,413,325,293.84 and 572,044,228.47
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Solution
The fourth proportional to 1,024,159,663.13, 1,413,325,293.84 and 572,044,228.47 is: 789,412,633.99
Step by Step Solution
- Step 1: Write the proportion equation
1,024,159,663.13 : 1,413,325,293.84 = 572,044,228.47 : x - Step 2: Convert to fraction form
1,024,159,663.13/1,413,325,293.84 = 572,044,228.47/x - Step 3: Cross multiply
1,024,159,663.13x = 1,413,325,293.84 × 572,044,228.47 - Step 4: Simplify right side
1,024,159,663.13x = 808,484,577,291,838,848 - Step 5: Solve for x
x = 808,484,577,291,838,848/1,024,159,663.13 - Step 6: Final answer
x = 789,412,633.99
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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.