Finding the Fourth Proportional to 461,272,075,691.08, 691,655,881,601.70 and 366,268,369,371.75
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Solution
The fourth proportional to 461,272,075,691.08, 691,655,881,601.70 and 366,268,369,371.75 is: 549,202,271,871.96
Step by Step Solution
- Step 1: Write the proportion equation
461,272,075,691.08 : 691,655,881,601.70 = 366,268,369,371.75 : x - Step 2: Convert to fraction form
461,272,075,691.08/691,655,881,601.70 = 366,268,369,371.75/x - Step 3: Cross multiply
461,272,075,691.08x = 691,655,881,601.70 × 366,268,369,371.75 - Step 4: Simplify right side
461,272,075,691.08x = 253,331,671,920,634,817,937,408 - Step 5: Solve for x
x = 253,331,671,920,634,817,937,408/461,272,075,691.08 - Step 6: Final answer
x = 549,202,271,871.96
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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.