Finding the Fourth Proportional to 10,502,292,763.29, 14,493,207,679.20 and 5,679,657,747.81
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Solution
The fourth proportional to 10,502,292,763.29, 14,493,207,679.20 and 5,679,657,747.81 is: 7,837,951,306.55
Step by Step Solution
- Step 1: Write the proportion equation
10,502,292,763.29 : 14,493,207,679.20 = 5,679,657,747.81 : x - Step 2: Convert to fraction form
10,502,292,763.29/14,493,207,679.20 = 5,679,657,747.81/x - Step 3: Cross multiply
10,502,292,763.29x = 14,493,207,679.20 × 5,679,657,747.81 - Step 4: Simplify right side
10,502,292,763.29x = 82,316,459,285,787,672,576 - Step 5: Solve for x
x = 82,316,459,285,787,672,576/10,502,292,763.29 - Step 6: Final answer
x = 7,837,951,306.55
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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.