Finding the Fourth Proportional to 204,683,284,691.04, 282,533,943,654 and 140,665,925,820
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Solution
The fourth proportional to 204,683,284,691.04, 282,533,943,654 and 140,665,925,820 is: 194,167,778,867.02
Step by Step Solution
- Step 1: Write the proportion equation
204,683,284,691.04 : 282,533,943,654 = 140,665,925,820 : x - Step 2: Convert to fraction form
204,683,284,691.04/282,533,943,654 = 140,665,925,820/x - Step 3: Cross multiply
204,683,284,691.04x = 282,533,943,654 × 140,665,925,820 - Step 4: Simplify right side
204,683,284,691.04x = 39,742,898,759,665,620,877,312 - Step 5: Solve for x
x = 39,742,898,759,665,620,877,312/204,683,284,691.04 - Step 6: Final answer
x = 194,167,778,867.02
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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.