Finding the Fourth Proportional to 286,269,656,047.40, 429,404,484,071.10 and 97,828,330,197.80
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Solution
The fourth proportional to 286,269,656,047.40, 429,404,484,071.10 and 97,828,330,197.80 is: 146,742,495,296.70
Step by Step Solution
- Step 1: Write the proportion equation
286,269,656,047.40 : 429,404,484,071.10 = 97,828,330,197.80 : x - Step 2: Convert to fraction form
286,269,656,047.40/429,404,484,071.10 = 97,828,330,197.80/x - Step 3: Cross multiply
286,269,656,047.40x = 429,404,484,071.10 × 97,828,330,197.80 - Step 4: Simplify right side
286,269,656,047.40x = 42,007,923,656,123,519,860,736 - Step 5: Solve for x
x = 42,007,923,656,123,519,860,736/286,269,656,047.40 - Step 6: Final answer
x = 146,742,495,296.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.