Finding the Fourth Proportional to 214,584,539,825.43, 296,113,322,258.47 and 118,235,234,483.01
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Solution
The fourth proportional to 214,584,539,825.43, 296,113,322,258.47 and 118,235,234,483.01 is: 163,157,271,811.17
Step by Step Solution
- Step 1: Write the proportion equation
214,584,539,825.43 : 296,113,322,258.47 = 118,235,234,483.01 : x - Step 2: Convert to fraction form
214,584,539,825.43/296,113,322,258.47 = 118,235,234,483.01/x - Step 3: Cross multiply
214,584,539,825.43x = 296,113,322,258.47 × 118,235,234,483.01 - Step 4: Simplify right side
214,584,539,825.43x = 35,011,028,090,773,301,100,544 - Step 5: Solve for x
x = 35,011,028,090,773,301,100,544/214,584,539,825.43 - Step 6: Final answer
x = 163,157,271,811.17
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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.