Finding the Fourth Proportional to 276,070,549,996.04, 414,147,230,725.32 and 96,964,968,477.09
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Solution
The fourth proportional to 276,070,549,996.04, 414,147,230,725.32 and 96,964,968,477.09 is: 145,461,995,756.99
Step by Step Solution
- Step 1: Write the proportion equation
276,070,549,996.04 : 414,147,230,725.32 = 96,964,968,477.09 : x - Step 2: Convert to fraction form
276,070,549,996.04/414,147,230,725.32 = 96,964,968,477.09/x - Step 3: Cross multiply
276,070,549,996.04x = 414,147,230,725.32 × 96,964,968,477.09 - Step 4: Simplify right side
276,070,549,996.04x = 40,157,773,172,154,768,031,744 - Step 5: Solve for x
x = 40,157,773,172,154,768,031,744/276,070,549,996.04 - Step 6: Final answer
x = 145,461,995,756.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.