Finding the Fourth Proportional to 4,656,746,197.60, 6,986,089,741.20 and 1,552,293,282.40
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Solution
The fourth proportional to 4,656,746,197.60, 6,986,089,741.20 and 1,552,293,282.40 is: 2,328,763,414.48
Step by Step Solution
- Step 1: Write the proportion equation
4,656,746,197.60 : 6,986,089,741.20 = 1,552,293,282.40 : x - Step 2: Convert to fraction form
4,656,746,197.60/6,986,089,741.20 = 1,552,293,282.40/x - Step 3: Cross multiply
4,656,746,197.60x = 6,986,089,741.20 × 1,552,293,282.40 - Step 4: Simplify right side
4,656,746,197.60x = 10,844,460,175,508,314,112 - Step 5: Solve for x
x = 10,844,460,175,508,314,112/4,656,746,197.60 - Step 6: Final answer
x = 2,328,763,414.48
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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.