Finding the Fourth Proportional to 442,348,089,128.68, 663,552,098,258.04 and 155,471,268,106.18
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Solution
The fourth proportional to 442,348,089,128.68, 663,552,098,258.04 and 155,471,268,106.18 is: 233,217,433,749.75
Step by Step Solution
- Step 1: Write the proportion equation
442,348,089,128.68 : 663,552,098,258.04 = 155,471,268,106.18 : x - Step 2: Convert to fraction form
442,348,089,128.68/663,552,098,258.04 = 155,471,268,106.18/x - Step 3: Cross multiply
442,348,089,128.68x = 663,552,098,258.04 × 155,471,268,106.18 - Step 4: Simplify right side
442,348,089,128.68x = 103,163,286,170,694,032,818,176 - Step 5: Solve for x
x = 103,163,286,170,694,032,818,176/442,348,089,128.68 - Step 6: Final answer
x = 233,217,433,749.75
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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.