Finding the Fourth Proportional to 726,853,828,202.70, 1,090,280,742,304 and 726,853,828,202.70
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Solution
The fourth proportional to 726,853,828,202.70, 1,090,280,742,304 and 726,853,828,202.70 is: 1,090,280,742,304
Step by Step Solution
- Step 1: Write the proportion equation
726,853,828,202.70 : 1,090,280,742,304 = 726,853,828,202.70 : x - Step 2: Convert to fraction form
726,853,828,202.70/1,090,280,742,304 = 726,853,828,202.70/x - Step 3: Cross multiply
726,853,828,202.70x = 1,090,280,742,304 × 726,853,828,202.70 - Step 4: Simplify right side
726,853,828,202.70x = 792,474,731,359,343,791,308,800 - Step 5: Solve for x
x = 792,474,731,359,343,791,308,800/726,853,828,202.70 - Step 6: Final answer
x = 1,090,280,742,304
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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.