Finding the Fourth Proportional to 1,523,560,401,564.60, 2,102,513,697,347.70 and 838,448,127,522.67
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Solution
The fourth proportional to 1,523,560,401,564.60, 2,102,513,697,347.70 and 838,448,127,522.67 is: 1,157,058,604,845.34
Step by Step Solution
- Step 1: Write the proportion equation
1,523,560,401,564.60 : 2,102,513,697,347.70 = 838,448,127,522.67 : x - Step 2: Convert to fraction form
1,523,560,401,564.60/2,102,513,697,347.70 = 838,448,127,522.67/x - Step 3: Cross multiply
1,523,560,401,564.60x = 2,102,513,697,347.70 × 838,448,127,522.67 - Step 4: Simplify right side
1,523,560,401,564.60x = 1,762,848,672,631,944,885,829,632 - Step 5: Solve for x
x = 1,762,848,672,631,944,885,829,632/1,523,560,401,564.60 - Step 6: Final answer
x = 1,157,058,604,845.34
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1.5x scale
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.