Finding the Fourth Proportional to 107,028,154,174.29, 147,701,652,026.75 and 58,201,830,309.01
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Solution
The fourth proportional to 107,028,154,174.29, 147,701,652,026.75 and 58,201,830,309.01 is: 80,320,048,065.32
Step by Step Solution
- Step 1: Write the proportion equation
107,028,154,174.29 : 147,701,652,026.75 = 58,201,830,309.01 : x - Step 2: Convert to fraction form
107,028,154,174.29/147,701,652,026.75 = 58,201,830,309.01/x - Step 3: Cross multiply
107,028,154,174.29x = 147,701,652,026.75 × 58,201,830,309.01 - Step 4: Simplify right side
107,028,154,174.29x = 8,596,506,487,621,346,656,256 - Step 5: Solve for x
x = 8,596,506,487,621,346,656,256/107,028,154,174.29 - Step 6: Final answer
x = 80,320,048,065.32
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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.