Finding the Fourth Proportional to 5,525,461,720,145.80, 7,624,625,461,427.80 and 3,056,219,447,585
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Solution
The fourth proportional to 5,525,461,720,145.80, 7,624,625,461,427.80 and 3,056,219,447,585 is: 4,217,299,801,536.32
Step by Step Solution
- Step 1: Write the proportion equation
5,525,461,720,145.80 : 7,624,625,461,427.80 = 3,056,219,447,585 : x - Step 2: Convert to fraction form
5,525,461,720,145.80/7,624,625,461,427.80 = 3,056,219,447,585/x - Step 3: Cross multiply
5,525,461,720,145.80x = 7,624,625,461,427.80 × 3,056,219,447,585 - Step 4: Simplify right side
5,525,461,720,145.80x = 23,302,528,615,767,393,905,410,048 - Step 5: Solve for x
x = 23,302,528,615,767,393,905,410,048/5,525,461,720,145.80 - Step 6: Final answer
x = 4,217,299,801,536.32
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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.