Finding the Fourth Proportional to 368,369,357,343.30, 552,060,123,088.09 and 286,693,026,262.96
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Solution
The fourth proportional to 368,369,357,343.30, 552,060,123,088.09 and 286,693,026,262.96 is: 429,655,138,822.33
Step by Step Solution
- Step 1: Write the proportion equation
368,369,357,343.30 : 552,060,123,088.09 = 286,693,026,262.96 : x - Step 2: Convert to fraction form
368,369,357,343.30/552,060,123,088.09 = 286,693,026,262.96/x - Step 3: Cross multiply
368,369,357,343.30x = 552,060,123,088.09 × 286,693,026,262.96 - Step 4: Simplify right side
368,369,357,343.30x = 158,271,787,367,226,719,338,496 - Step 5: Solve for x
x = 158,271,787,367,226,719,338,496/368,369,357,343.30 - Step 6: Final answer
x = 429,655,138,822.33
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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.