Finding the Fourth Proportional to 1,210,630,564,563.80, 1,670,670,320,750.40 and 661,922,241,197.76
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Solution
The fourth proportional to 1,210,630,564,563.80, 1,670,670,320,750.40 and 661,922,241,197.76 is: 913,452,770,302.50
Step by Step Solution
- Step 1: Write the proportion equation
1,210,630,564,563.80 : 1,670,670,320,750.40 = 661,922,241,197.76 : x - Step 2: Convert to fraction form
1,210,630,564,563.80/1,670,670,320,750.40 = 661,922,241,197.76/x - Step 3: Cross multiply
1,210,630,564,563.80x = 1,670,670,320,750.40 × 661,922,241,197.76 - Step 4: Simplify right side
1,210,630,564,563.80x = 1,105,853,843,013,685,334,769,664 - Step 5: Solve for x
x = 1,105,853,843,013,685,334,769,664/1,210,630,564,563.80 - Step 6: Final answer
x = 913,452,770,302.50
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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.