Finding the Fourth Proportional to 466,115,020,388.37, 643,231,938,433.88 and 260,352,187,657.99
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Solution
The fourth proportional to 466,115,020,388.37, 643,231,938,433.88 and 260,352,187,657.99 is: 359,282,226,526.87
Step by Step Solution
- Step 1: Write the proportion equation
466,115,020,388.37 : 643,231,938,433.88 = 260,352,187,657.99 : x - Step 2: Convert to fraction form
466,115,020,388.37/643,231,938,433.88 = 260,352,187,657.99/x - Step 3: Cross multiply
466,115,020,388.37x = 643,231,938,433.88 × 260,352,187,657.99 - Step 4: Simplify right side
466,115,020,388.37x = 167,466,842,342,750,179,819,520 - Step 5: Solve for x
x = 167,466,842,342,750,179,819,520/466,115,020,388.37 - Step 6: Final answer
x = 359,282,226,526.87
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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.