Finding the Fourth Proportional to 279,135,132,938.71, 418,824,486,769.84 and 97,748,152,819.55
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Solution
The fourth proportional to 279,135,132,938.71, 418,824,486,769.84 and 97,748,152,819.55 is: 146,664,876,994.67
Step by Step Solution
- Step 1: Write the proportion equation
279,135,132,938.71 : 418,824,486,769.84 = 97,748,152,819.55 : x - Step 2: Convert to fraction form
279,135,132,938.71/418,824,486,769.84 = 97,748,152,819.55/x - Step 3: Cross multiply
279,135,132,938.71x = 418,824,486,769.84 × 97,748,152,819.55 - Step 4: Simplify right side
279,135,132,938.71x = 40,939,319,937,347,920,855,040 - Step 5: Solve for x
x = 40,939,319,937,347,920,855,040/279,135,132,938.71 - Step 6: Final answer
x = 146,664,876,994.67
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.