Finding the Fourth Proportional to 10,502,292,758.78, 14,493,207,672.99 and 5,679,657,743.31
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Solution
The fourth proportional to 10,502,292,758.78, 14,493,207,672.99 and 5,679,657,743.31 is: 7,837,951,300.34
Step by Step Solution
- Step 1: Write the proportion equation
10,502,292,758.78 : 14,493,207,672.99 = 5,679,657,743.31 : x - Step 2: Convert to fraction form
10,502,292,758.78/14,493,207,672.99 = 5,679,657,743.31/x - Step 3: Cross multiply
10,502,292,758.78x = 14,493,207,672.99 × 5,679,657,743.31 - Step 4: Simplify right side
10,502,292,758.78x = 82,316,459,185,297,571,840 - Step 5: Solve for x
x = 82,316,459,185,297,571,840/10,502,292,758.78 - Step 6: Final answer
x = 7,837,951,300.34
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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.