Finding the Fourth Proportional to 107,013,643,209.46, 160,516,829,313.06 and 27,425,974,385.62
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Solution
The fourth proportional to 107,013,643,209.46, 160,516,829,313.06 and 27,425,974,385.62 is: 41,138,029,854.61
Step by Step Solution
- Step 1: Write the proportion equation
107,013,643,209.46 : 160,516,829,313.06 = 27,425,974,385.62 : x - Step 2: Convert to fraction form
107,013,643,209.46/160,516,829,313.06 = 27,425,974,385.62/x - Step 3: Cross multiply
107,013,643,209.46x = 160,516,829,313.06 × 27,425,974,385.62 - Step 4: Simplify right side
107,013,643,209.46x = 4,402,330,449,200,920,657,920 - Step 5: Solve for x
x = 4,402,330,449,200,920,657,920/107,013,643,209.46 - Step 6: Final answer
x = 41,138,029,854.61
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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.