Finding the Fourth Proportional to 1,703,749,554,683.70, 2,555,781,437,754 and 556,387,793,938.80
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Solution
The fourth proportional to 1,703,749,554,683.70, 2,555,781,437,754 and 556,387,793,938.80 is: 834,632,996,400.51
Step by Step Solution
- Step 1: Write the proportion equation
1,703,749,554,683.70 : 2,555,781,437,754 = 556,387,793,938.80 : x - Step 2: Convert to fraction form
1,703,749,554,683.70/2,555,781,437,754 = 556,387,793,938.80/x - Step 3: Cross multiply
1,703,749,554,683.70x = 2,555,781,437,754 × 556,387,793,938.80 - Step 4: Simplify right side
1,703,749,554,683.70x = 1,422,005,595,941,682,668,371,968 - Step 5: Solve for x
x = 1,422,005,595,941,682,668,371,968/1,703,749,554,683.70 - Step 6: Final answer
x = 834,632,996,400.51
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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.