Finding the Fourth Proportional to 942,854,769,968.84, 1,414,282,153,355.10 and 226,558,717,149.40
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Solution
The fourth proportional to 942,854,769,968.84, 1,414,282,153,355.10 and 226,558,717,149.40 is: 339,838,075,340.08
Step by Step Solution
- Step 1: Write the proportion equation
942,854,769,968.84 : 1,414,282,153,355.10 = 226,558,717,149.40 : x - Step 2: Convert to fraction form
942,854,769,968.84/1,414,282,153,355.10 = 226,558,717,149.40/x - Step 3: Cross multiply
942,854,769,968.84x = 1,414,282,153,355.10 × 226,558,717,149.40 - Step 4: Simplify right side
942,854,769,968.84x = 320,417,950,351,422,436,409,344 - Step 5: Solve for x
x = 320,417,950,351,422,436,409,344/942,854,769,968.84 - Step 6: Final answer
x = 339,838,075,340.08
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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.