Finding the Fourth Proportional to 10,982,021,258,804, 15,155,191,810,896 and 6,043,643,003,201
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Solution
The fourth proportional to 10,982,021,258,804, 15,155,191,810,896 and 6,043,643,003,201 is: 8,340,228,705,773.39
Step by Step Solution
- Step 1: Write the proportion equation
10,982,021,258,804 : 15,155,191,810,896 = 6,043,643,003,201 : x - Step 2: Convert to fraction form
10,982,021,258,804/15,155,191,810,896 = 6,043,643,003,201/x - Step 3: Cross multiply
10,982,021,258,804x = 15,155,191,810,896 × 6,043,643,003,201 - Step 4: Simplify right side
10,982,021,258,804x = 91,592,568,950,090,701,463,355,392 - Step 5: Solve for x
x = 91,592,568,950,090,701,463,355,392/10,982,021,258,804 - Step 6: Final answer
x = 8,340,228,705,773.39
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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.