Finding the Fourth Proportional to 1,600,809,452,347.40, 2,209,117,044,239.90 and 915,697,178,305.55
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Solution
The fourth proportional to 1,600,809,452,347.40, 2,209,117,044,239.90 and 915,697,178,305.55 is: 1,263,662,106,061.94
Step by Step Solution
- Step 1: Write the proportion equation
1,600,809,452,347.40 : 2,209,117,044,239.90 = 915,697,178,305.55 : x - Step 2: Convert to fraction form
1,600,809,452,347.40/2,209,117,044,239.90 = 915,697,178,305.55/x - Step 3: Cross multiply
1,600,809,452,347.40x = 2,209,117,044,239.90 × 915,697,178,305.55 - Step 4: Simplify right side
1,600,809,452,347.40x = 2,022,882,243,957,173,413,478,400 - Step 5: Solve for x
x = 2,022,882,243,957,173,413,478,400/1,600,809,452,347.40 - Step 6: Final answer
x = 1,263,662,106,061.94
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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.