Finding the Fourth Proportional to 235,623,417,810.14, 353,484,764,616.84 and 76,434,087,211.59
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Solution
The fourth proportional to 235,623,417,810.14, 353,484,764,616.84 and 76,434,087,211.59 is: 114,667,232,899.84
Step by Step Solution
- Step 1: Write the proportion equation
235,623,417,810.14 : 353,484,764,616.84 = 76,434,087,211.59 : x - Step 2: Convert to fraction form
235,623,417,810.14/353,484,764,616.84 = 76,434,087,211.59/x - Step 3: Cross multiply
235,623,417,810.14x = 353,484,764,616.84 × 76,434,087,211.59 - Step 4: Simplify right side
235,623,417,810.14x = 27,018,285,326,691,911,860,224 - Step 5: Solve for x
x = 27,018,285,326,691,911,860,224/235,623,417,810.14 - Step 6: Final answer
x = 114,667,232,899.84
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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.