Finding the Fourth Proportional to 678,683,263,814.51, 1,018,129,499,258 and 231,398,560,854.32
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Solution
The fourth proportional to 678,683,263,814.51, 1,018,129,499,258 and 231,398,560,854.32 is: 347,133,506,088.67
Step by Step Solution
- Step 1: Write the proportion equation
678,683,263,814.51 : 1,018,129,499,258 = 231,398,560,854.32 : x - Step 2: Convert to fraction form
678,683,263,814.51/1,018,129,499,258 = 231,398,560,854.32/x - Step 3: Cross multiply
678,683,263,814.51x = 1,018,129,499,258 × 231,398,560,854.32 - Step 4: Simplify right side
678,683,263,814.51x = 235,593,700,891,630,675,951,616 - Step 5: Solve for x
x = 235,593,700,891,630,675,951,616/678,683,263,814.51 - Step 6: Final answer
x = 347,133,506,088.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.