Finding the Fourth Proportional to 70,697,370,319,662, 97,548,221,320,806 and 39,477,138,641,163
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Solution
The fourth proportional to 70,697,370,319,662, 97,548,221,320,806 and 39,477,138,641,163 is: 54,470,550,175,602.66
Step by Step Solution
- Step 1: Write the proportion equation
70,697,370,319,662 : 97,548,221,320,806 = 39,477,138,641,163 : x - Step 2: Convert to fraction form
70,697,370,319,662/97,548,221,320,806 = 39,477,138,641,163/x - Step 3: Cross multiply
70,697,370,319,662x = 97,548,221,320,806 × 39,477,138,641,163 - Step 4: Simplify right side
70,697,370,319,662x = 3,850,924,657,280,311,180,509,839,360 - Step 5: Solve for x
x = 3,850,924,657,280,311,180,509,839,360/70,697,370,319,662 - Step 6: Final answer
x = 54,470,550,175,602.66
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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.