Finding the Fourth Proportional to 1,963,815,842,212, 2,709,672,814,465.80 and 1,096,587,184,475.80
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Solution
The fourth proportional to 1,963,815,842,212, 2,709,672,814,465.80 and 1,096,587,184,475.80 is: 1,513,070,838,209.94
Step by Step Solution
- Step 1: Write the proportion equation
1,963,815,842,212 : 2,709,672,814,465.80 = 1,096,587,184,475.80 : x - Step 2: Convert to fraction form
1,963,815,842,212/2,709,672,814,465.80 = 1,096,587,184,475.80/x - Step 3: Cross multiply
1,963,815,842,212x = 2,709,672,814,465.80 × 1,096,587,184,475.80 - Step 4: Simplify right side
1,963,815,842,212x = 2,971,392,482,465,668,512,350,208 - Step 5: Solve for x
x = 2,971,392,482,465,668,512,350,208/1,963,815,842,212 - Step 6: Final answer
x = 1,513,070,838,209.94
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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.