Finding the Fourth Proportional to 1,462,809,145,312.30, 2,194,496,289,244.20 and 556,176,460,708.70
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Solution
The fourth proportional to 1,462,809,145,312.30, 2,194,496,289,244.20 and 556,176,460,708.70 is: 834,372,127,834.65
Step by Step Solution
- Step 1: Write the proportion equation
1,462,809,145,312.30 : 2,194,496,289,244.20 = 556,176,460,708.70 : x - Step 2: Convert to fraction form
1,462,809,145,312.30/2,194,496,289,244.20 = 556,176,460,708.70/x - Step 3: Cross multiply
1,462,809,145,312.30x = 2,194,496,289,244.20 × 556,176,460,708.70 - Step 4: Simplify right side
1,462,809,145,312.30x = 1,220,527,179,190,214,703,710,208 - Step 5: Solve for x
x = 1,220,527,179,190,214,703,710,208/1,462,809,145,312.30 - Step 6: Final answer
x = 834,372,127,834.65
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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.