Finding the Fourth Proportional to 1,704,471,175,813.10, 2,352,151,484,012.20 and 923,184,867,746.67
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Solution
The fourth proportional to 1,704,471,175,813.10, 2,352,151,484,012.20 and 923,184,867,746.67 is: 1,273,984,968,183.50
Step by Step Solution
- Step 1: Write the proportion equation
1,704,471,175,813.10 : 2,352,151,484,012.20 = 923,184,867,746.67 : x - Step 2: Convert to fraction form
1,704,471,175,813.10/2,352,151,484,012.20 = 923,184,867,746.67/x - Step 3: Cross multiply
1,704,471,175,813.10x = 2,352,151,484,012.20 × 923,184,867,746.67 - Step 4: Simplify right side
1,704,471,175,813.10x = 2,171,470,656,687,936,636,977,152 - Step 5: Solve for x
x = 2,171,470,656,687,936,636,977,152/1,704,471,175,813.10 - Step 6: Final answer
x = 1,273,984,968,183.50
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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.