Finding the Fourth Proportional to 700,570,303,516.70, 1,050,749,277,588.70 and 190,668,805,125.20
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Solution
The fourth proportional to 700,570,303,516.70, 1,050,749,277,588.70 and 190,668,805,125.20 is: 285,974,310,127.50
Step by Step Solution
- Step 1: Write the proportion equation
700,570,303,516.70 : 1,050,749,277,588.70 = 190,668,805,125.20 : x - Step 2: Convert to fraction form
700,570,303,516.70/1,050,749,277,588.70 = 190,668,805,125.20/x - Step 3: Cross multiply
700,570,303,516.70x = 1,050,749,277,588.70 × 190,668,805,125.20 - Step 4: Simplify right side
700,570,303,516.70x = 200,345,109,244,004,519,641,088 - Step 5: Solve for x
x = 200,345,109,244,004,519,641,088/700,570,303,516.70 - Step 6: Final answer
x = 285,974,310,127.50
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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.