Finding the Fourth Proportional to 164,818,866,475.80, 247,228,299,713.70 and 40,742,273,323.80
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Solution
The fourth proportional to 164,818,866,475.80, 247,228,299,713.70 and 40,742,273,323.80 is: 61,113,409,985.70
Step by Step Solution
- Step 1: Write the proportion equation
164,818,866,475.80 : 247,228,299,713.70 = 40,742,273,323.80 : x - Step 2: Convert to fraction form
164,818,866,475.80/247,228,299,713.70 = 40,742,273,323.80/x - Step 3: Cross multiply
164,818,866,475.80x = 247,228,299,713.70 × 40,742,273,323.80 - Step 4: Simplify right side
164,818,866,475.80x = 10,072,642,960,313,911,607,296 - Step 5: Solve for x
x = 10,072,642,960,313,911,607,296/164,818,866,475.80 - Step 6: Final answer
x = 61,113,409,985.70
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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.