Finding the Fourth Proportional to 1,606,252,202,893.60, 2,409,696,288,461.10 and 458,894,196,760.95
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Solution
The fourth proportional to 1,606,252,202,893.60, 2,409,696,288,461.10 and 458,894,196,760.95 is: 688,432,140,817.71
Step by Step Solution
- Step 1: Write the proportion equation
1,606,252,202,893.60 : 2,409,696,288,461.10 = 458,894,196,760.95 : x - Step 2: Convert to fraction form
1,606,252,202,893.60/2,409,696,288,461.10 = 458,894,196,760.95/x - Step 3: Cross multiply
1,606,252,202,893.60x = 2,409,696,288,461.10 × 458,894,196,760.95 - Step 4: Simplify right side
1,606,252,202,893.60x = 1,105,795,642,731,199,023,022,080 - Step 5: Solve for x
x = 1,105,795,642,731,199,023,022,080/1,606,252,202,893.60 - Step 6: Final answer
x = 688,432,140,817.71
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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.