Finding the Fourth Proportional to 97,291,329,101.12, 134,267,566,644.64 and 54,471,437,355.20
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Solution
The fourth proportional to 97,291,329,101.12, 134,267,566,644.64 and 54,471,437,355.20 is: 75,173,681,076.11
Step by Step Solution
- Step 1: Write the proportion equation
97,291,329,101.12 : 134,267,566,644.64 = 54,471,437,355.20 : x - Step 2: Convert to fraction form
97,291,329,101.12/134,267,566,644.64 = 54,471,437,355.20/x - Step 3: Cross multiply
97,291,329,101.12x = 134,267,566,644.64 × 54,471,437,355.20 - Step 4: Simplify right side
97,291,329,101.12x = 7,313,747,345,318,648,741,888 - Step 5: Solve for x
x = 7,313,747,345,318,648,741,888/97,291,329,101.12 - Step 6: Final answer
x = 75,173,681,076.11
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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.