Finding the Fourth Proportional to 942,854,769,967.58, 1,414,282,153,353.20 and 226,558,717,148.13
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Solution
The fourth proportional to 942,854,769,967.58, 1,414,282,153,353.20 and 226,558,717,148.13 is: 339,838,075,338.17
Step by Step Solution
- Step 1: Write the proportion equation
942,854,769,967.58 : 1,414,282,153,353.20 = 226,558,717,148.13 : x - Step 2: Convert to fraction form
942,854,769,967.58/1,414,282,153,353.20 = 226,558,717,148.13/x - Step 3: Cross multiply
942,854,769,967.58x = 1,414,282,153,353.20 × 226,558,717,148.13 - Step 4: Simplify right side
942,854,769,967.58x = 320,417,950,349,195,831,410,688 - Step 5: Solve for x
x = 320,417,950,349,195,831,410,688/942,854,769,967.58 - Step 6: Final answer
x = 339,838,075,338.17
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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.