Finding the Fourth Proportional to 758,593,634,709.60, 1,137,957,350,199.90 and 214,046,908,267.18
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Solution
The fourth proportional to 758,593,634,709.60, 1,137,957,350,199.90 and 214,046,908,267.18 is: 321,089,238,566.37
Step by Step Solution
- Step 1: Write the proportion equation
758,593,634,709.60 : 1,137,957,350,199.90 = 214,046,908,267.18 : x - Step 2: Convert to fraction form
758,593,634,709.60/1,137,957,350,199.90 = 214,046,908,267.18/x - Step 3: Cross multiply
758,593,634,709.60x = 1,137,957,350,199.90 × 214,046,908,267.18 - Step 4: Simplify right side
758,593,634,709.60x = 243,576,252,550,201,177,276,416 - Step 5: Solve for x
x = 243,576,252,550,201,177,276,416/758,593,634,709.60 - Step 6: Final answer
x = 321,089,238,566.37
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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.