Finding the Fourth Proportional to 736,430,940,829.80, 1,016,127,305,425 and 411,220,194,178.68
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Solution
The fourth proportional to 736,430,940,829.80, 1,016,127,305,425 and 411,220,194,178.68 is: 567,401,564,329.03
Step by Step Solution
- Step 1: Write the proportion equation
736,430,940,829.80 : 1,016,127,305,425 = 411,220,194,178.68 : x - Step 2: Convert to fraction form
736,430,940,829.80/1,016,127,305,425 = 411,220,194,178.68/x - Step 3: Cross multiply
736,430,940,829.80x = 1,016,127,305,425 × 411,220,194,178.68 - Step 4: Simplify right side
736,430,940,829.80x = 417,852,067,847,127,347,232,768 - Step 5: Solve for x
x = 417,852,067,847,127,347,232,768/736,430,940,829.80 - Step 6: Final answer
x = 567,401,564,329.03
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.