Finding the Fourth Proportional to 10,142,595,088,916, 13,996,013,081,828 and 5,692,176,583,957
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Solution
The fourth proportional to 10,142,595,088,916, 13,996,013,081,828 and 5,692,176,583,957 is: 7,854,772,593,672.75
Step by Step Solution
- Step 1: Write the proportion equation
10,142,595,088,916 : 13,996,013,081,828 = 5,692,176,583,957 : x - Step 2: Convert to fraction form
10,142,595,088,916/13,996,013,081,828 = 5,692,176,583,957/x - Step 3: Cross multiply
10,142,595,088,916x = 13,996,013,081,828 × 5,692,176,583,957 - Step 4: Simplify right side
10,142,595,088,916x = 79,667,777,933,137,192,801,009,664 - Step 5: Solve for x
x = 79,667,777,933,137,192,801,009,664/10,142,595,088,916 - Step 6: Final answer
x = 7,854,772,593,672.75
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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.