Finding the Fourth Proportional to 1,742,277,752,675.20, 2,404,350,773,597.40 and 950,369,107,006.26
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Solution
The fourth proportional to 1,742,277,752,675.20, 2,404,350,773,597.40 and 950,369,107,006.26 is: 1,311,513,445,043.43
Step by Step Solution
- Step 1: Write the proportion equation
1,742,277,752,675.20 : 2,404,350,773,597.40 = 950,369,107,006.26 : x - Step 2: Convert to fraction form
1,742,277,752,675.20/2,404,350,773,597.40 = 950,369,107,006.26/x - Step 3: Cross multiply
1,742,277,752,675.20x = 2,404,350,773,597.40 × 950,369,107,006.26 - Step 4: Simplify right side
1,742,277,752,675.20x = 2,285,020,697,633,571,322,462,208 - Step 5: Solve for x
x = 2,285,020,697,633,571,322,462,208/1,742,277,752,675.20 - Step 6: Final answer
x = 1,311,513,445,043.43
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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.