Finding the Fourth Proportional to 653,702,007,989.62, 902,106,266,236.95 and 364,670,037,186.64
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Solution
The fourth proportional to 653,702,007,989.62, 902,106,266,236.95 and 364,670,037,186.64 is: 503,243,254,012.08
Step by Step Solution
- Step 1: Write the proportion equation
653,702,007,989.62 : 902,106,266,236.95 = 364,670,037,186.64 : x - Step 2: Convert to fraction form
653,702,007,989.62/902,106,266,236.95 = 364,670,037,186.64/x - Step 3: Cross multiply
653,702,007,989.62x = 902,106,266,236.95 × 364,670,037,186.64 - Step 4: Simplify right side
653,702,007,989.62x = 328,971,125,654,929,526,489,088 - Step 5: Solve for x
x = 328,971,125,654,929,526,489,088/653,702,007,989.62 - Step 6: Final answer
x = 503,243,254,012.08
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.