Finding the Fourth Proportional to 10,735,593,358,730, 14,815,164,080,197 and 6,048,048,368,826.40
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Solution
The fourth proportional to 10,735,593,358,730, 14,815,164,080,197 and 6,048,048,368,826.40 is: 8,346,332,238,475.43
Step by Step Solution
- Step 1: Write the proportion equation
10,735,593,358,730 : 14,815,164,080,197 = 6,048,048,368,826.40 : x - Step 2: Convert to fraction form
10,735,593,358,730/14,815,164,080,197 = 6,048,048,368,826.40/x - Step 3: Cross multiply
10,735,593,358,730x = 14,815,164,080,197 × 6,048,048,368,826.40 - Step 4: Simplify right side
10,735,593,358,730x = 89,602,828,949,130,941,866,967,040 - Step 5: Solve for x
x = 89,602,828,949,130,941,866,967,040/10,735,593,358,730 - Step 6: Final answer
x = 8,346,332,238,475.43
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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.