Finding the Fourth Proportional to 249,734,777,905.62, 344,624,765,164.10 and 135,546,947,253.54
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Solution
The fourth proportional to 249,734,777,905.62, 344,624,765,164.10 and 135,546,947,253.54 is: 187,049,778,399.77
Step by Step Solution
- Step 1: Write the proportion equation
249,734,777,905.62 : 344,624,765,164.10 = 135,546,947,253.54 : x - Step 2: Convert to fraction form
249,734,777,905.62/344,624,765,164.10 = 135,546,947,253.54/x - Step 3: Cross multiply
249,734,777,905.62x = 344,624,765,164.10 × 135,546,947,253.54 - Step 4: Simplify right side
249,734,777,905.62x = 46,712,834,865,961,866,625,024 - Step 5: Solve for x
x = 46,712,834,865,961,866,625,024/249,734,777,905.62 - Step 6: Final answer
x = 187,049,778,399.77
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1.5x scale
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.