Finding the Fourth Proportional to 1,834,829,639,007.60, 2,752,354,779,354.80 and 561,425,466,325.14
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Solution
The fourth proportional to 1,834,829,639,007.60, 2,752,354,779,354.80 and 561,425,466,325.14 is: 842,171,955,717.52
Step by Step Solution
- Step 1: Write the proportion equation
1,834,829,639,007.60 : 2,752,354,779,354.80 = 561,425,466,325.14 : x - Step 2: Convert to fraction form
1,834,829,639,007.60/2,752,354,779,354.80 = 561,425,466,325.14/x - Step 3: Cross multiply
1,834,829,639,007.60x = 2,752,354,779,354.80 × 561,425,466,325.14 - Step 4: Simplify right side
1,834,829,639,007.60x = 1,545,242,065,491,496,351,563,776 - Step 5: Solve for x
x = 1,545,242,065,491,496,351,563,776/1,834,829,639,007.60 - Step 6: Final answer
x = 842,171,955,717.52
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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.