Finding the Fourth Proportional to 466,106,441,540.34, 643,220,043,873.80 and 260,343,683,723.04
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Solution
The fourth proportional to 466,106,441,540.34, 643,220,043,873.80 and 260,343,683,723.04 is: 359,270,460,011.67
Step by Step Solution
- Step 1: Write the proportion equation
466,106,441,540.34 : 643,220,043,873.80 = 260,343,683,723.04 : x - Step 2: Convert to fraction form
466,106,441,540.34/643,220,043,873.80 = 260,343,683,723.04/x - Step 3: Cross multiply
466,106,441,540.34x = 643,220,043,873.80 × 260,343,683,723.04 - Step 4: Simplify right side
466,106,441,540.34x = 167,458,275,666,600,524,775,424 - Step 5: Solve for x
x = 167,458,275,666,600,524,775,424/466,106,441,540.34 - Step 6: Final answer
x = 359,270,460,011.67
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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.