Finding the Fourth Proportional to 10,735,593,358,727, 14,815,164,080,192 and 6,048,048,368,823.40
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Solution
The fourth proportional to 10,735,593,358,727, 14,815,164,080,192 and 6,048,048,368,823.40 is: 8,346,332,238,470.81
Step by Step Solution
- Step 1: Write the proportion equation
10,735,593,358,727 : 14,815,164,080,192 = 6,048,048,368,823.40 : x - Step 2: Convert to fraction form
10,735,593,358,727/14,815,164,080,192 = 6,048,048,368,823.40/x - Step 3: Cross multiply
10,735,593,358,727x = 14,815,164,080,192 × 6,048,048,368,823.40 - Step 4: Simplify right side
10,735,593,358,727x = 89,602,828,949,056,260,975,624,192 - Step 5: Solve for x
x = 89,602,828,949,056,260,975,624,192/10,735,593,358,727 - Step 6: Final answer
x = 8,346,332,238,470.81
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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.