Finding the Fourth Proportional to 646,784,734,875.42, 892,503,035,447.67 and 357,746,773,357.74
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Solution
The fourth proportional to 646,784,734,875.42, 892,503,035,447.67 and 357,746,773,357.74 is: 493,657,416,334.81
Step by Step Solution
- Step 1: Write the proportion equation
646,784,734,875.42 : 892,503,035,447.67 = 357,746,773,357.74 : x - Step 2: Convert to fraction form
646,784,734,875.42/892,503,035,447.67 = 357,746,773,357.74/x - Step 3: Cross multiply
646,784,734,875.42x = 892,503,035,447.67 × 357,746,773,357.74 - Step 4: Simplify right side
646,784,734,875.42x = 319,290,081,143,392,592,461,824 - Step 5: Solve for x
x = 319,290,081,143,392,592,461,824/646,784,734,875.42 - Step 6: Final answer
x = 493,657,416,334.81
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.