Finding the Fourth Proportional to 1,071,491,261,885.70, 1,477,664,709,425.10 and 782,000,979,021.05
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Solution
The fourth proportional to 1,071,491,261,885.70, 1,477,664,709,425.10 and 782,000,979,021.05 is: 1,078,436,465,642.92
Step by Step Solution
- Step 1: Write the proportion equation
1,071,491,261,885.70 : 1,477,664,709,425.10 = 782,000,979,021.05 : x - Step 2: Convert to fraction form
1,071,491,261,885.70/1,477,664,709,425.10 = 782,000,979,021.05/x - Step 3: Cross multiply
1,071,491,261,885.70x = 1,477,664,709,425.10 × 782,000,979,021.05 - Step 4: Simplify right side
1,071,491,261,885.70x = 1,155,535,249,435,283,746,193,408 - Step 5: Solve for x
x = 1,155,535,249,435,283,746,193,408/1,071,491,261,885.70 - Step 6: Final answer
x = 1,078,436,465,642.92
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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.