Finding the Fourth Proportional to 16,545,182,417.70, 22,832,320,644.09 and 9,026,808,646.02
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Solution
The fourth proportional to 16,545,182,417.70, 22,832,320,644.09 and 9,026,808,646.02 is: 12,456,978,967.99
Step by Step Solution
- Step 1: Write the proportion equation
16,545,182,417.70 : 22,832,320,644.09 = 9,026,808,646.02 : x - Step 2: Convert to fraction form
16,545,182,417.70/22,832,320,644.09 = 9,026,808,646.02/x - Step 3: Cross multiply
16,545,182,417.70x = 22,832,320,644.09 × 9,026,808,646.02 - Step 4: Simplify right side
16,545,182,417.70x = 206,102,989,398,772,547,584 - Step 5: Solve for x
x = 206,102,989,398,772,547,584/16,545,182,417.70 - Step 6: Final answer
x = 12,456,978,967.99
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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.