Finding the Fourth Proportional to 164,818,866,477.30, 247,228,299,715.95 and 40,742,273,325.30
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Solution
The fourth proportional to 164,818,866,477.30, 247,228,299,715.95 and 40,742,273,325.30 is: 61,113,409,987.95
Step by Step Solution
- Step 1: Write the proportion equation
164,818,866,477.30 : 247,228,299,715.95 = 40,742,273,325.30 : x - Step 2: Convert to fraction form
164,818,866,477.30/247,228,299,715.95 = 40,742,273,325.30/x - Step 3: Cross multiply
164,818,866,477.30x = 247,228,299,715.95 × 40,742,273,325.30 - Step 4: Simplify right side
164,818,866,477.30x = 10,072,642,960,776,423,800,832 - Step 5: Solve for x
x = 10,072,642,960,776,423,800,832/164,818,866,477.30 - Step 6: Final answer
x = 61,113,409,987.95
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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.