Finding the Fourth Proportional to 147,832,627,332.68, 221,746,517,750.40 and 47,102,126,538.18
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Solution
The fourth proportional to 147,832,627,332.68, 221,746,517,750.40 and 47,102,126,538.18 is: 70,652,417,716.80
Step by Step Solution
- Step 1: Write the proportion equation
147,832,627,332.68 : 221,746,517,750.40 = 47,102,126,538.18 : x - Step 2: Convert to fraction form
147,832,627,332.68/221,746,517,750.40 = 47,102,126,538.18/x - Step 3: Cross multiply
147,832,627,332.68x = 221,746,517,750.40 × 47,102,126,538.18 - Step 4: Simplify right side
147,832,627,332.68x = 10,444,732,538,480,117,153,792 - Step 5: Solve for x
x = 10,444,732,538,480,117,153,792/147,832,627,332.68 - Step 6: Final answer
x = 70,652,417,716.80
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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.