Finding the Fourth Proportional to 1,237,864,911,872, 1,857,645,526,750 and 432,031,852,254
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Solution
The fourth proportional to 1,237,864,911,872, 1,857,645,526,750 and 432,031,852,254 is: 648,343,797,498.44
Step by Step Solution
- Step 1: Write the proportion equation
1,237,864,911,872 : 1,857,645,526,750 = 432,031,852,254 : x - Step 2: Convert to fraction form
1,237,864,911,872/1,857,645,526,750 = 432,031,852,254/x - Step 3: Cross multiply
1,237,864,911,872x = 1,857,645,526,750 × 432,031,852,254 - Step 4: Simplify right side
1,237,864,911,872x = 802,562,037,753,160,038,088,704 - Step 5: Solve for x
x = 802,562,037,753,160,038,088,704/1,237,864,911,872 - Step 6: Final answer
x = 648,343,797,498.44
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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.