Finding the Fourth Proportional to 466,106,441,540.35, 643,220,043,873.80 and 260,343,683,723.05
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Solution
The fourth proportional to 466,106,441,540.35, 643,220,043,873.80 and 260,343,683,723.05 is: 359,270,460,011.68
Step by Step Solution
- Step 1: Write the proportion equation
466,106,441,540.35 : 643,220,043,873.80 = 260,343,683,723.05 : x - Step 2: Convert to fraction form
466,106,441,540.35/643,220,043,873.80 = 260,343,683,723.05/x - Step 3: Cross multiply
466,106,441,540.35x = 643,220,043,873.80 × 260,343,683,723.05 - Step 4: Simplify right side
466,106,441,540.35x = 167,458,275,666,606,933,671,936 - Step 5: Solve for x
x = 167,458,275,666,606,933,671,936/466,106,441,540.35 - Step 6: Final answer
x = 359,270,460,011.68
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.