Finding the Fourth Proportional to 2,046,246,102.96, 2,823,817,632.12 and 1,106,446,495.20
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Solution
The fourth proportional to 2,046,246,102.96, 2,823,817,632.12 and 1,106,446,495.20 is: 1,526,895,087.36
Step by Step Solution
- Step 1: Write the proportion equation
2,046,246,102.96 : 2,823,817,632.12 = 1,106,446,495.20 : x - Step 2: Convert to fraction form
2,046,246,102.96/2,823,817,632.12 = 1,106,446,495.20/x - Step 3: Cross multiply
2,046,246,102.96x = 2,823,817,632.12 × 1,106,446,495.20 - Step 4: Simplify right side
2,046,246,102.96x = 3,124,403,122,143,136,768 - Step 5: Solve for x
x = 3,124,403,122,143,136,768/2,046,246,102.96 - Step 6: Final answer
x = 1,526,895,087.36
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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.