Finding the Fourth Proportional to 205,020,005,147.79, 282,927,508,697.91 and 122,620,763,264.03
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Solution
The fourth proportional to 205,020,005,147.79, 282,927,508,697.91 and 122,620,763,264.03 is: 169,216,594,448.53
Step by Step Solution
- Step 1: Write the proportion equation
205,020,005,147.79 : 282,927,508,697.91 = 122,620,763,264.03 : x - Step 2: Convert to fraction form
205,020,005,147.79/282,927,508,697.91 = 122,620,763,264.03/x - Step 3: Cross multiply
205,020,005,147.79x = 282,927,508,697.91 × 122,620,763,264.03 - Step 4: Simplify right side
205,020,005,147.79x = 34,692,787,064,928,206,848,000 - Step 5: Solve for x
x = 34,692,787,064,928,206,848,000/205,020,005,147.79 - Step 6: Final answer
x = 169,216,594,448.53
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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.